2012 - Mittag

Transcription

2012 - Mittag

Annual report
2012
INSTITUT MITTAG-LEFFLER – A NORDIC INSTITUTE FOR RESEARCH IN MATHEMATICS
Contents
Activity report 2012
Contributors
Research programs
Geometric and Analytic Aspects of Group Theory, spring
Scientific report
Participants
Preprints
Seminars
Hamiltonians in Magnetic Fields, fall
Scientific report
Participants
Preprints
Seminars
Shorter programs
Advances in Mathematical Analysis of Partial Differential Equations
Complex Analysis and Integrable Systems
Discrete Morse Theory and Commutative Algebra
Kleindagarna
Participants from the Nordic countries and Research in Peace (RIP)
Publications
Library and historical archive
The board of the Institute
Administration
In memoriam
Finances
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Cover photo: Sergey Morosov
Photos in this report: Margareta Wiberg Roland, when nothing else is written.
Institut Mittag-Leffler
Auravägen 17
SE-182 60 Djursholm
Sweden
+46 8 622 05 60
www.mittag-leffler.se
5 juni 2013
Activity report 2012
Institut Mittag-Leffler is an international research institute for mathematics with a Nordic
basis. It was founded in 1916 by Professor Gösta Mittag-Leffler and his wife Signe, who
donated their magnificent villa with its first-class library for the purpose of creating the
Institute that bears their name.
The Institute is today an active international center for front-line research in the
mathematical sciences, operating under the auspices of the Royal Swedish Academy of
Sciences. It enjoys the economic support of national funding agencies from all the Nordic
countries, as well as of some private foundations.
The main activities at the Institute are the research programs, workshops, summer
schools and the publication of two research journals.
The Institute conducts semester-long programs aimed at research in some area in pure
or applied mathematics of current interest. Each research program is led by an
organizing committee. Based on the recommendations of this committee the Institute
invites senior and junior mathematicians to come and work together at the Institute. The
senior participants are chosen among the internationally leading mathematicians in the
given area. To the junior participants, typically recent Ph.D. students, we offer
fellowships, open to everyone to apply for. Mathematicians from the Nordic countries are
given a slight priority. We make, however, sure that scientific caliber and a good mixture
of talents and backgrounds have top priority, to optimize the creative environment at the
Institute.
Detailed reports and documentation on the 2012 programs can be found later in this
report. See also our web pages at www.mittag-leffler.se.
An aspect of the programs that is emphasized is to provide good postdoctoral training to
the junior participants. Special seminars and mini-courses are given specifically for them.
During summer 2012 the Institute organized two conferences and one summer school
extending the scope of its activities. All these events were very successful and now the
Institute has decided to have regular workshops and summer schools.
In addition to area-specific research programs, conferences and summer schools, the
Institute has the RIP program (Research in Peace), which provides a stimulating
environment for research in Mathematics either by individuals or small groups of
scientists. For such a program we allocated 2012 two weeks during summer time.
Together with the National Centre for Mathematics
Education (NCM) the Institute organizes “Kleindagarna” – training workshop for high school
teachers in mathematics. Two such meeting in
2011 and 2012 were very successful and were
highly appreciated by the participants.
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The Institute publishes two journals, Acta Mathematica
(founded by Gösta Mittag-Leffler in 1882) and Arkiv för
matematik (founded in 1903). Information about the
journals is given later in this report, as well as on our
web pages www.mittag-leffler.se/publications. Acta
Mathematica is generally considered to be one of the
leading international mathematics research journals.
Institut Mittag-Leffler is an active participant in international scientific life. It participates
in international networks of mathematics research institutes. For instance, we belong to
ERCOM (European Research Centers on Mathematics), a network of European sister
institutes. We also belong to EPDI (European Post-Doctoral Institute), a collaboration
between 9 institutes for jointly awarding postdoctoral fellowships to Europe's most
promising young mathematicians.
In the international evaluation report1 of Swedish research in mathematics, sponsored by
the Swedish Research Council (VR) and the Swedish Foundation for Strategic Research
(SSF), which was conducted in 2010, the evaluation committee most strongly
recommended VR and other Swedish and Nordic funding agencies to "act quickly to
stabilize the current operating budget" of Institut Mittag-Leffler. This recommendation
has been taken into account and VR has given the Institute a five years grant for the
period 2012 2016, that substantially improved its budget.
In order to consolidate Institute’s links with the community of Nordic mathematicians,
the Institute in 2012 initiated a meeting of Head of the major mathematic departments
of the Nordic countries. This meeting led to a fruitful exchange of experiences and views.
For the Institute such a meeting provides direct links with our colleagues allowing to us
deliver important information about our activities providing a feedback of needs that are
important for mathematics in the Nordic countries. Finally, it was decided to have this
meeting annually.
King Carl XVI Gustaf and Queen Silvia in
conversation with Marta San-Solé and Fabian
Portmann, two scientists at Institut MittagLeffler and the Director of the Institute, Ari
Laptev. Photo: Maria Djurskog
On September 2012 the Institute hosted King
Carl XVI Gustaf of Sweden and Queen Silvia of
Sweden. This visit created a friendly
atmosphere during which the members of the Royal family asked many questions about
the history of the Institute, the involvement of King Oscar II in establishing of Acta
Mathematica and the current activities of the Institute. Finally our guest agreed to sign in
the Institute’s guest book that we traditionally have for all our visitors.
In order to improve services to our guests the Institute employed a new administrator
and a new system administrator. This allows the Institute to successfully run summer
programs and also to provide extended IT support for our guests.
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The report "Evaluation of Swedish research in mathematics", VR and SSF, 2010, can be obtained at
http://www.vr.se/download/18.287e63c12e07f2d51780001353/Evaluation+of+Swedish+research+in+
mathematics.pdf
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The staff of the Institute does a wonderful job. Visitors from abroad often express their
admiration how such a many-facetted operation can be run, and run so well, by so few
individuals.
Among our special guests this
year were Elliott Lieb
(Princeton), Gregory Margulis
(Yale University) and Barry
Simon (CalTech).
Institut Mittag-Leffler extends its warm gratitude to all organizations and individuals who
via grants and contributions of various kinds have made the work of the Institute
possible during the year 2012.
Ari Laptev, Director
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Contributors
The Institute's activities are financed by income from the Mittag-Leffler Mathematical
foundation, and by grants from research councils and foundations. The Institute is very
grateful to the following organizations and individuals for contributions and support
during 2012:
The Swedish Research Council, VR
Academy of Finland
Danish Agency for Science, Technology and Innovation
The Icelandic Mathematical Society
The Research Council of Norway
Acta Mathematicas fond
Axa Research Fund
Centre for Mathematical Sciences, Lund University
Department of Mathematics, Göteborg University/Chalmers
Department of Mathematics, Linköping University
Department of Mathematics, Stockholm University
Department of Mathematics and Mathematical Statistics, Umeå University
Europan Mathematical Society
Fonden ”Till bröderna Jacob och Marcus Wallenbergs minne”
KTH Royal Institute of Technology
Skånegårdar AB in memory of Thure-Gabriel Gyllenkrok
Stiftelsen G.S. Magnusons fond
The Anna-Greta and Holger Crafoord Fund
In 1916 Professor Gösta Mittag-Leffler and his wife Signe established a foundation
which intended to promote research in pure mathematics.
The mission of Institut Mittag-Leffler is to support international top-level research in
mathematics, with special attention to the development of mathematical research in
the Nordic countries.
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Research programs
Programs 2012 – semester long


Geometric and Analytic Aspects of Group Theory, spring 2012
Hamiltonians in Magnetic Fields, fall 2012
During the semester programs 2012 the Institute hosted 147 visiting researchers, who
together spent 188 man-months working at the Institute.
Geometric and Analytic Aspects of Group Theory
Scientific report 2012 spring
The spring program of 2012 was devoted to various aspects of group theory, particularly
concerning infinite discrete groups and Lie groups as opposed to finite groups. On the
one hand, it was in a sense the first program centered on group theory in the institute's
history, thereby in particular introducing Institut Mittag-Leffler to another community of
mathematicians (the closest previous program is probably Analysis on Lie Groups back in
1995). On the other hand, as was famously pointed out already by Mittag-Leffler's friend,
the great Poincaré, in Acta in 1905, groups permeate most areas of modern
mathematics.
There were around 80 guest researcher coming from Europe and the rest of the world,
from Australia, Japan, over Israel, to the US and Chile. As said, to many of them this was
their first IML experience, and several, if not the majority, said that if they were to be
invited again, they would make more extensive arrangements in order to stay longer.
Swedish mathematicians from nearby universities often came to the seminars, including
experts from algebra, analysis, combinatorics, number theory and topology. Conversely,
several of the program's visitors gave talks outside IML, around 20-30 in total number,
again in a variety of seminars.
Among the most prominent
lectures, were the 2012 Göran
Gustafsson lectures at KTH by
Gregory Margulis and the
Stockholm Mathematics Colloquium
by Martin Bridson. At the Institute,
Karen Vogtmann, as the European
Mathematical Society Lecturer of
2011-2012, gave a well-attended
series of three lectures on the
automorphism group of free groups,
and Lubotzky gave a couple of talks
about exciting new developments,
Alex Lubotsky discussing with Karen Vogtmann in the seminar room.
sieve methods in group theory. In
these ways, top quality international mathematics was brought to the region as was part
of Mittag-Leffler's original vision.
The ideal setting of the institute, with the housing on the premises, helped create a
variety of more or less spontaneous social gatherings. The Institute were able to sponsor
certain social events such as a memorable visit to Millesgården and a sunny excursion to
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the archipelago. Such activities were instrumental in shaping a pleasant and unique
atmosphere that promotes discussions and collaborations.
Ilya Karachkov, Pascal Schweitzer,
Sebastian Hensel and Cristina
Pagliantini discussing today’s
seminar.
The post-doctoral fellows, led by Sebastian Hensel and Tobias Hartnick, ran one reading
seminar on CAT(0)-cube complexes, in particular its boundary theory as laid out in a
recent preprint by Amos Nevo and Michah Sageev. Additional motivation came from the
recent proof of the virtual Haken conjecture in three dimensional topology by Ian Agol.
The program hosted three EPDI postdocs: Andreas Ott, Hiraku Nozawa and Pascal
Schweitzer.
Rostislav Grigorchuk opened the year with a survey and new results on growth of groups,
a topic going back to an influential paper by Milnor. In particular he presented interesting
partial results towards the outstanding gap conjecture. Bartholdi reported on important
joint work with Anna Erschler on the existence of different intermediate growth rates.
Growth was a theme also in other discussions during the year, in different contexts by
Michelle Bucher - Alexey Talambutsa and Ruth Kellerhals – Alexander Kolpakov.
First from right:Michelle Bucher,
Vincent Emery, Sebastian
Hensel,Michael Davis, Hiraku
Nozawa, Fédédric Paulin, William
Goldman, Pascal Schweitzer, Jouni
Parkkonen and Kate Juschenko on
their way for lunch.
A paper constructing a remarkable new example of a group, namely the first infinite,
simple, amenable group, was completed by Kate Juschenko and Nicolas Monod during
their stay at the Institute.
Dieter Kotschick found a significant improvement, in a way a definitive one, on an
important theorem by Green-Lazarfeld and Gromov from around 1990 concerning
fundamental groups of compact Kähler manifolds.
Gabor Elek's preprint gave new results and proofs in the subject of graph limits, which is
a topic of great current interest, for example in works by Benjamini-Schramm, Lovász
and others.
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Milagros Izquierdo with collaborators submitted substantial investigations on connectivity
properties of branch loci in moduli spaces of Riemann surfaces.
Simplicial volume and various group cohomologies were studied and discussed by
participants Michelle Bucher, Marc Burger, Tsachik Gelander, Alessandra Iozzi, Roberto
Frigerio, Inkang Kim, Peter Kropholler, and Cristina Pagliantini, resulting in numerous
new results and future prospects.
Vincent Emery and Ruth Kellerhals determined the three arithmetic hyperbolic orbifolds
in dimension five of smallest volume.
As expected, significant results also on dynamical and probabilistic aspects were
advanced such as in the preprints by Bertrand Deroin - Johan Dupont, Jayadev Athreya –
Fédéric Paulin, Anders Karlsson, and Kate Juschenko – Tatiana Smirnova-Nagnibeda.
Other papers in the preprint series obtained a new fixed point result in nonpositive
curvature, a contribution to Kaplansky's zero divisor conjecture, a new metric on
Teichmüller spaces, and a theorem on the growth of Betti numbers in p-adic analytic
towers.
The above is just a sample of achievements; more could have been said about each and
several as important contributions as those mentioned have been omitted. It seems safe
to expect that the influence of the ideas and collaborations from this program will have
an impact for years to come going beyond what has been reported in the more than 35
preprints submitted.
Organizing committee
Martin Bridson, Oxford University
Michelle Bucher, KTH, Stockholm
Anders Karlsson, KTH, Stockholm
Tatiana Smirnova-Nagnibeda, University of Geneva
Karen Vogtmann, Cornell University
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Participants 2012 spring
Name
Vesa
Ala-Mattila
Affiliation
University of Helsinki
Country
Finland
Laurent
Bartholdi
Universität Göttingen
Germany
Anders
Björner
Sweden
Martin
Bridson
KTH Royal Institute of Technology,
Stockholm
Mathematical Institute, Oxford
Michelle
Bucher
KTH/University of Geneva
Sweden/Switzerland
Alexander
Bufetov
Rice University, Houston
United States
Marc
Burger
ETH Zürich
Switzerland
PierreCaprace
Emmanuel
Montserrat Casals-Ruiz
Université Catholique de Louvain,
Louvain-la-Neuve
Vanderbilt University, Nashville
Belgium
Wojciech
Chacholski
Sweden
Ruth
Charney
KTH Royal Institute of Technology,
Stockholm
Brandeis University/ETH, Waltham
Gautam
Chinta
The City College of New York
United States
Michael
Davis
Ohio State University, Columbus
United States
Thomas
Delzant
Université de Strasbourg
France
Bertrand
Deroin
Université Paris-Sud, Orsay
France
Moon
Duchin
Tufts University, Medford
United States
Johan
Dupont
Aarhus University
Denmark
Gabor
Elek
Hungary
Vincent
Emery
Alfred Renyi Institute of Mathematics,
Budapest
Stanford University
David
Fisher
Indiana University Bloomington
United States
Roberto
Frigerio
University of Pisa
Italy
Koji
Fujiwara
Tohoku University, Aoba-ku, Sendai
Japan
Alexander
Gamburd
University of California Santa Cruz
United States
Tsachik
Gelander
The Hebrew University of Jerusalem
Israel
William
Goldman
University of Maryland, College Park
United States
Rostislav
Grigorchuk
Texas A&M University, College Station
United States
Yves
Guivarc'h
IRMAR, Rennes
France
Tobias
Hartnick
Israel
Sebastian
Hensel
Technion - Israel Institute of
Technology, Haifa
University of Bonn
Alessandra Iozzi
ETH Zentrum, Zürich
Switzerland
Milagros
Izquierdo
Linköping University
Sweden
Tadeusz
Januszkiewicz Instytut Matematyczny PAN, Warzaw
Poland
Lizhen
Ji
University of Michigan, Ann Arbor
United States
Jay
Jorgenson
The City College of New York
United States
Kate
Juschenko
Texas A&M University, College Station
United States
Vadim
Kaimanovich
University of Ottawa
Canada
Anders
Karlsson
KTH/University of Geneva
Sweden/Switzerland
Ilya
Kazachkov
United States
Ruth
Kellerhals
Université de Fribourg
Switzerland
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United Kingdom
United States
United States
United States
Germany
Inkang
Kim
Seoul National University
Korea, Republic of
Dieter
Kotschick
Universität Munich, Munich
Germany
Rostyslav
Kravchenko
France
Peter
Kropholler
University of Glasgow, Glasgow
United Kingdom
Alex
Lubotzky
Israel
Clara
Löh
Universität Regensburg, Regensburg
Germany
Gregory
Margulis
Yale University, New Haven
United States
Igor
Mineyev
United States
Nicolas
Monod
University of Illinois at UrbanaChampaign, Urbana
EPFL, Lausanne
Shahar
Mozes
Israel
Aglaia
Myropolska
University of Geneva, Geneva
Switzerland
Röggi
Möller
University of Iceland, Reykjavik
Iceland
Andres
Navas
Switzerland
Universidad de Santiago de Chile,
Santiago de Chile
Volodymyr Nekrashevych Texas A&M University, College Station
Chile
Hiraku
Nozawa
The University of Tokyo, Tokyo
Japan
Denis
Osin
United States
Andreas
Ott
Germany
Narutaka
Ozawa
Max Planck Institute for Mathematics,
Bonn
Kyoto University, Kyoto
Cristina
Pagliantini
University of Pisa, Pisa
Italy
Jouni
Parkkonen
University of Jyväskylä, Jyväskylä
Finland
Frédéric
Paulin
France
Irine
Peng
United States
Japan
Indiana University Bloomington
United States
Christophe Pittet
Laboratoire Analyse, Marseille
France
Leonid
Potyagailo
Université de Lille 1, Villeneuve d'Ascq
France
Piotr
Przytycki
Poland
Pierre
Py
The Polish Academy of Sciences,
Warzaw
University of Strasbourg, Strasbourg
Alan
Reid
University of Texas at Austin, Austin
United States
Bertrand
Remy
Université Lyon 1, Lyon
France
Pascal
Rolli
ETH Zürich, Zürich
Switzerland
Mark
Sapir
United States
Roman
Sauer
Germany
Pascal
Schweitzer
John
Smillie
Westfälische Wilhelms-Universität
Münster, Münster
Australian National University,
Canberra
Cornell University, Ithaca
Tatiana
SmirnovaNagnibeda
University of Geneva, Geneva
Switzerland
Alexey
Talambutsa
Steklov Mathematical Institute, Moscow Russian Federation
Andreas
Thom
Germany
Pekka
Tukia
Lehrstuhl für Theoretische Mathematik,
Leipzig
University of Helsinki, Helsinki
Alain
Valette
Institut de Mathématiques, Neuchatel
Switzerland
Karen
Vogtmann
Cornell University, Ithaca
United States
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France
Australia
United States
Finland
Preprints 2012 spring
01 A New Family of Representations of Virtually Free Groups - Alessandra Iozzi,
M. Gabriella Kuhn, Tim Steger
02 On three-manifolds dominated by circle bundles - D. Kotschick, C. Neofytidis
03 On Zero Divisors with Small Support in Group Rings of Torsion-Free Groups Schweitzer Pascal
04 Fixed points and amenability in non-positive curvature - Pierre-Emmanuel
Caprace, Nicolas Monod
05 Milnor-Wood inequalities for products - Michelle Bucher, Tsachik Gelander
06 Milnor's Problem on the Growth of Groups and its Consequences - Rostislav
Grigorchuk 07
On GAP Conjecture concerning Group Growth - Rostislav
Grigorchuk
08 On the connectedness of the branch loci of moduli spaces of orientable Klein
surfaces - Antonio F. Costa, Milagros Izquierdo, Ana M. Porto
09 Which finitely generated Abelian groups admit isomorphic Cayley graphs? Clara Löh
10 On the connectivity of branch loci of moduli spaces - Gabriel Bartolini, Antonio
F. Costa, Milagros Izquierdo
11 Branched projective structures with quasi-Fuchsian holonomy - Gabriel
Calsamiglia, Bertrand Deroin, Stefano Francaviglia
12 Topology and dynamics of Levi-flats in surfaces of general type - Bertrand
Deroin, Christophe Dupont
13 Cantor systems, piecewise translations and simple amenable groups - Kate
Juschenko, Nicolas Monod
14 Geometry of the Funk metric on Weil-Petersson spaces - Koji Fujiwara
15 On the growth of Betti numbers in p-adic analytic towers - Nicolas Bergeron,
Peter Linnell, Wolfgang Lück, Roman Sauer
16 Proportionality principle for the simplicial volume of families of Q-rank 1
locally symmetric spaces - Michelle Bucher, Inkang Kim, Sungwoon Kim
17 The deficiencies of Kähler groups - D. Kotschick
18 Stability properties of multiplicative representations of the free group Alessandra Iozzi, M. Gabriella Kuhn, Tim Steger
19 A Dual Interpretation of the Gromov-Thurston Proof of Mostow Rigidity and
Volume Rigidity for Representations of Hyperbolic Lattices - Michelle Bucher,
Marc Burger, Alessandra Iozzi
20 Isometric properties of relative bounded cohomology - Michelle Bucher, Marc
Burger, Alessandra Iozzi, Cristina Pagliantini, Maria Beatrice Pozzetti,
21 The three smallest compact arithmetic hyperbolic 5-orbifolds - Vincent Emery,
Ruth Kellerhals
22 Imaginary group: lazy monoids and reversible computation - Jamie Gabbay,
Peter Kropholler
23 Logarithm laws for strong unstable foliations in negative curvature and nonArchimedian Diophantine approximation - Jayadev Athreya, Frédéric Paulin
24 The minimal growth rate of cocompact Coxeter groups in hyperbolic 3-space
- Ruth Kellerhals, Alexander Kolpakov
25 Finite graphs and amenability - Gabor Elek
26 Secondary characteristic classes of transversely homogeneous foliations Jesús A. Álvarez López, Hiraku Nozawa
27 Two-spherical topological Kac--Moody groups are Kazhdan - Tobias Hartnick,
Ralf Koehl
28 Cohomological finiteness conditions for a class of metabelian groups - Peter
Kropholler, Joseph Mullaney
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29 Quasiconvexity in Relatively Hyperbolic Groups - Leonid Potyagailo, Victor
Gerasimov
30 Two extensions of Thurston's spectral theorem for surface diffeomorphisms
- Anders Karlsson
31 Small spectral radius and percolation constants on non-amenable Cayley
graphs - Kate Juschenko, Tatiana Nagnibeda
32 Realisation and dismantlability - Sebastian Hensel, Damian Osajda, Piotr
Przytycki
33 On isolated strata of p-gonal Riemann surfaces in the branch locus of moduli
spaces - Gabriel Bartolini, Antonio F. Costa, Milagros Izquierdo
34 Cofinite hyperbolic Coxeter groups, minimal growth rate and Pisot numbers
- Ruth Kellerhals
35 The simplicial volume of 3-manifolds with boundary - Michelle Bucher, Roberto
Frigerio, Cristina Pagliantini
36 Exponential growth rates of free and amalgamated products - Michelle
Bucher, Alexey Talambutsa
37 Actions of arithmetic groups on homology spheres and acyclic homology
manifolds - Martin R. Bridson, Fritz Grunewald, Karen Vogtmann, Bruno
Zimmermann
38 Dimension of elementary amenable groups - Martin R. Bridson, Peter H.
Kropholler
39 On the Subgroups of Right Angled Artin Groups and Mapping Class Groups Martin R. Bridson
40 Heat kernels on regular graphs and generalized Ihara zeta function
formulas - Gautam Chinta, Jay Jorgenson, Anders Karlsson
41 Crooked Halfspaces - Jean-Philippe Burelle, Virginie Charette, Todd Drumm,
William Goldman
42 Smale spaces with virtually nilpotent splitting - Volodymyr Nekrashevych
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Seminars 2012 spring
Leonid Potyagailo, Université de Lille 1
Quasiconvexity in relatively hyperbolic groups
William Goldman, University of Maryland
Crooked geometry
Wojciech Chachólski, KTH
Dynamics and symmetries of idempotent deformations of groups
David Fisher, Indiana University
Cohomology, Compactness and Rigidity
Moon Duchin, Tufts University
Fine asymptotic geometry
Vincent Emery, MPI Bonn
Arithmetic Coxeter groups and small volume
Jay Jorgenson, City College of New York
On the distribution of zeros of the derivative of the Selberg zeta function
Andreas Ott, Max Planck Institute
Towards a vanishing theorem for bounded cohomology of Lie groups
Irine Peng, The Technion, Israel Institute of Technology
Boundary representation of a semisimple lie group
Frédéric Paulin, Université Paris-Sud
The ergodic theory of the strong unstable foliation in negative curvature with potential
Fédéric Paulin and Jouni
Parkkonen who seem to have a
joyful discussion.
Jouni Parkkonen, University of Jyväskylä
Counting common perpendiculars in negative curvature
Christophe Pittet, Laboratoire d'Analyse
Spheres in horospheres
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Denis Osin, Vanderbilt University
Groups with hyperbolically embedded subgroups
Yves Guivarc'h, University of Rennes 1
Random walk by affine maps on tori and nilmanifolds. Spectral gap property in $L^2$
Thomas Delzant, University of Strasbourg
Kähler groups, deficiency and the geometric invariant
Vadim Kaimanovich, University of Ottawa
Random graphs: invariance and unimodularity
Ruth Kellerhals, University of Freiburg
Hyperbolic Coxeter groups and minimal growth rate
John Smillie, Cornell University
Translation surfaces and Teichmuller dynamics
Koji Fujiwara, Kyoto University
Quasi-cocycles on free groups to uniformly convex Banach spaces
Alan Reid, University of Texas
Groups of the same genus and some questions of Baumslag
Mark Sapir, Vanderbilt University
Complicated residually finite groups
Martin Bridson, Oxford University
Unsolvable decision problems for discrete and profinite groups
Andreas Thom, Lehrstuhl für Theoretische Mathematik
Entropy, determinants, and $L^2$-torsion
Johan Dupont, University of Aarhus
A generalization of Abel's theorem and the Abel-Jacobi map
Marc Burger, ETH Zürich
Volumes and bounded cohomology
Roman Sauer, University of Regensburg
Growth of Betti numbers in p-adic analytic towers of covers
Mike Davis, Ohio State University
Random right-angled Coxeter groups are rational duality groups
Pascal Rolli, ETH Zürich
Split quasimorphisms
Vesa Ala-Mattila, University of Helsinki
Covering measures, packing measures and Patterson-Sullivan measures of geometrically
finite Kleinian groups
Alex Lubotzky, The Hebrew University of Jerusalem
Arithmetic quotients of automorphism groups
Montserrat Casals-Ruiz, University of Oxford
Embedability between partially commutative groups
14
Alex Lubotzky, The Hebrew University of Jerusalem
Sieve methods in group theory
Volodymyr Nekrashevych, Texas A&M University
Hyperbolic groupoids
Kate Juschenko, Texas A&M University
Finitely presented groups related to Kaplansky's direct finiteness conjecture
Rostyslav Kravchenko, Université Paris-Sud
On the lattice of subgroups of the lamplighter group
Tadeusz Januszkiewicz, Polish Academy of Sciences
Fundamental groups of blow ups
Alexander I. Bufetov, Steklov Institute of Mathematics
On the Vershik-Kerov Conjecture Concerning the Shannon-McMillan-Breiman Theorem for
the Plancherel Family of Measures on the Space of Young Diagrams
Alexander I. Bufetov, Steklov Institute of Mathematics
Cesaro convergence of spherical averages for measure-preserving actions of wordhyperbolic groups (joint work with Mikhail Khristoforov and Alexey Klimenko)
Laurent Bartholdi, University of Göttingen
Growth and Poisson boundaries of groups
Igor Mineyev, University of Illinois at Urbana-Champaign
The Atiyah Conjecture and submultiplicativity
Inkang Kim, Korea Institute for Advanced Study
Some applications of bounded cohomology
Clara Löh, Universität Regensburg
Isomorphisms of Cayley graphs of finitely generated Abelian groups
Pekka Tukia, University of Helsinki
Generalizations of Fuchsian and Kleinian groups
Röggi Möller, University of Iceland
Independence conditions for group actions on trees
Mini course (three lectures – lecture 3) - The topology and geometry of automorphism
groups of free groups
Andrés Navas, Universidad de Santiago de Chile
On cocycles of isometries and Lyapunov exponents
Mini course (three lectures - lecture 2) - The topology and geometry of automorphism
Mini course (three lectures - lecture 1) - The topology and geometry of automorphism
Peter Kropholler, University of Glasgow
Generic open subsets of spheres and applications to the Bieri-Neuman-Strebel invariant
15
Cristina Pagliantini, University of Pisa
Relative (continuous) bounded cohomology
Ruth Charney, Brandeis University/ETH
Contracting boundaries of CAT(0) spaces
Lizhen Ji, University of Michigan
On invariant complete geodesic metrics on the Culler-Vogtmann outer space
Milagros Izquierdo, University of Linköping
Trigonal maps
Pascal Schweitzer, Australian National University
On zero divisors with small support in group rings of torsion-free groups
Bertrand Rémy, Université Lyon 1
Simple and non-simple groups acting on buildings, overview and open questions
Roberto Frigerio , University of Pisa
Stable complexity and simplicial volume of manifolds
Dieter Kotschick, Universität Munich
Ordering manifolds by maps of non-zero degree
Ilya Kazachkov, Vanderbilt University
Group actions on real cubings
Hiraku Nozawa, The University of Tokyo
A Finite aspect of characteristic classes of foliations
Bertrand Deroin, Université Paris-Sud 11
Bifurcations in representation varieties of $SL(2,C)$
Pierre Py, University of Strasbourg
An equivariant deformation of the hyperbolic space
Tobias Hartnick, Technion - Israel Institute of Technology
Topological twin buildings and their automorphism groups
Sebastian Hensel, Mathematisches Institut de Universität Bonn
On the geometry of the handlebody group
Tatiana Nagnibeda, University of Geneva
Geodesic currents on free groups
Tsachik Gelander, The Hebrew University of Jerusalem
On the cohomology of hyperbolic manifolds
Shahar Mozes, The Hebrew University of Jerusalem
Invariant measures and divisibility
Narutaka Ozawa, Kyoto University
Is an ring singly generated as an ideal?
Gautam Chinta, The City College of New York
Zeta functions of rings
16
Alain Valette, Institut de Mathématiques
$L^p$-compression and equivariant compression for Baumslag-Solitar groups
Gabor Elek, The Alfred Renyi Institute
Sofic groups, wobbling groups and topological full groups of Cantor actions
Pierre-Emmanuel Caprace , Université Catholique de Louvain
Characterising rank one groups
Nicolas Monod, EPFL
Derivations and fixed points
Piotr Przytycki , The Polish Academy of Sciences
Graph manifolds with boundary are virtually special
Rostislav Grigorchuk, Texas A&M University
On the Gap Conjecture for group growth and related topics
Alessandra Iozzi, ETH Zentrum
Multiplicative representations of virtually free groups
Alessandra Iozzi and Michelle Bucher talking about the lecture Alessandra
just gave.
17
Hamiltonians with Magnetic Fields
Scientific report 2012 fall
General
The planning of the program took place for more than 2 years, starting by the
preparation of the application, with further selection and correction of the list of senior
participants, then the junior participants, adaptation of the schedule to the personal
conditions of participants and housing and office space abilities of the Institute. On the
stage of this concretization, we had to relax the initial requirement of visits not shorter
than 1 month, in order to be able to secure the participation of the leading experts in the
field, which would not be at Institute otherwise. We evaluate as reasonable the resulting
composition of the set of the participants, which enabled both the productive research
and co-operation both among senior researchers and between senior researchers and
junior ones.
Participants of the program wrote their individual reports and from these reports one can
deduce that for the most of participants, the visit to IML produced very nice conditions
for the research, while both the mathematical (the library and adjoining resources) and
non-mathematical (the great environment) features
contributed to productive research. For most of the
responders, the possibility of improving old and
establishing new personal contacts facilitated
essential progress in the study in their traditional
fields, via the exchange of ideas, as well as stating
new problems and starting exploration in new fields.
At the yearly leafraking day.
The research activities of the participants enveloped a wide range of the topics around
the main field of the program. Here is an (incomplete) description of the research topics.
Spectral theory
Dirac-like magnetic gaps in the continuous spectrum of the plain graphene, existence and
stability of embedded eigenvalues in the continuous spectrum, for systems coming from
mesoscopic quantum transport, periodic potential
perturbations of the Landau operator, Lieb-Thirring
inequalities, and applications to the stability of
matter (Lieb-Oxford Bounds with Gradient
Corrections, new estimates for Thomas-FermiWeizsacker energy functional), Spectral properties
of the fractional Laplacian on bounded domains,
Bessis-Moussa-Villani conjecture, optimal estimates
for first eigenvalues of Schrödinger operators in
manifolds with positive or negative potentials, the
semi-classical analysis of the bottom of the
spectrum of a Schrödinger operator with magnetic
Douglas Lundholm in discussion with Erik Skipsted.
field; eigenvalue estimates and eigenfunction localizations for the perturbed Landau
Hamiltonians; spectral estimates for Dirichlet Laplacians on perturbed twisted tubes;
eigenvalue inequalities for magnetic Hamiltonians with complex electric potentials,
Schrödinger operator on an infinite wedge with a tangent magnetic field; asymptotics
expansion of the lowlying eigenvalues of the Schrödinger operator with constant
18
magnetic field parallel to the axis of a cone when the aperture of the cone tends to 0,
minimal spectral partitions; high energy eigenvalue asymptotics for short range magnetic
perturbations of the Landau Hamiltonian; spectral theory of magnetic Schrödinger
operators with non-trivial bundle structures; trace formulas for Schrödinger operators in
higher dimensions.
Quantum Dynamics
time dependent Ginzburg-Landau equation, stability and instability of pre-existing
resonances under a small electric field and under a time-periodic field; magnetic
quantum dots; Quantum electrodynamics in Half-space; the forward problem for the
electromagnetic Helmholtz equation with critical singularities; Schrödinger equation with
switching (or flipping) magnetic field; the time dependent Schrödinger equations on thin
tubes; effective Hamiltonian for a thin curved quantum layer in rather arbitrary magnetic
field; existence and the uniqueness of the unitary propagator for Schrödinger equation
with magnetic fields which are very strong at the spatial infinity and which can
compensate the electric exploding force.
Mikkel H. Brynildsen and Ira Herbst.
Scattering theory
Schrödinger wave operators in R2; the scattering theory for discrete models;
completeness for N-body (magnons) problems associated the Heisenberg model of
quantum spins; the study of the SSF near Landau levels; resonances for electromagnetic
Hamiltonians; resonances in scattering by two Magnetic Fields at large separation and a
complex scaling method; spectral analysis of piecewise continuous functions of selfadjoint operators; Asymptotics near the spectral thresholds of the resonance counting
function for 3D magnetic Schrödinger operators; Behavior at infinity of the integrated
density of states for multidimensional periodic and almost-periodic operators; asymptotic
distributions of the scattering matrix; scattering theory on space with asymptotically
product structures.
Quantum statistical mechanics
especially, anyons: Study of anyons on a lattice, aiming at a better understanding of
their dependence on the statistics parameter, operator extensions for anyons, as well as
for Heisenberg type intermediate statistics, dyons, i.e. particles with both electric and
magnetic charge.
Discrete models
in particular, dynamical localization for a discrete Anderson model, Schrödinger equations
with magnetic field on various lattices; threshold expansion of the resolvent for the onedimensional discrete Schrödinger operator; inverse problem for Schrödinger operators on
metric graphs with cycles using spectral data (scattering matrix or Titchmarsh-Weyl
matrix function) depending on the magnetic fluxes through the cycles.
Quantum Hall effect
in particular, Spin Quantum Hall effect and the Thermal Quantum Halleffect; Quantization
of the Hall Conductance and delocalization in ergodic Landau Hamiltonians.
19
General Analysis problems inspired by Magnetic fields
Asymptotic analysis, symmetries of hypergeometric type equations and functions,
holomorphic familes of closed (typically unbounded) operators, The Fischer-Hartwig type
asymptotics for Wiener-Hopf operators, Hankel operators, Toeplitz operators, exponential
decay of eigenstates of partial differential operators, perturbation theory of Lyapunov
exponents for all Cartan universality classes; Magnetic Contribution to the Hardy
Inequality.
Global Analysis problems, inspired by Magnetic Hamiltonians
zeta functions and analytic torsion on manifolds with conical singularities; describing the
sub-Riemannian cut locus of the Stieffel manifold, interplay between real and complex
Clifford algebra representations and the 10 classical groups that makes the connection to
complex and Real K-Theory; index theoretical aspects of Toeplitz operators on the
spectral levels; the index problem for complexifications of compact Lie groups and the
Agmon-Hörmander space; possible generalizations of the Levinson theorem in a von
Neumann algebraic setup.
Inverse problems
general questions on solvability and stability; Inverse problems on graphs.
The common activities at the program concentrated mostly around seminars, which took
place every Tuesday and Thursday, with extra seminars in the case when there was too
much material for the regular activities.
Virginie Bonnaillie-Noël
and Nicolas Raymond at
one of the daily coffee
breaks.
Regular Seminars
The regular seminars started with a two-part review talk by Dimitri Yafaev, who gave a
survey on the spectral properties of magnetic Hamiltonians. Of the 55 regular seminars
at least 33 dealt explicitly with Magnetic Fields, while most of the other 22 shared some
connection either with the physics or with the mathematical tools used in the trade of
Magnetic Hamiltonians. There were several talks concerning different perturbations of
Landau Hamiltonians (e.g., perturbations by periodic potentials, perturbations by lattices,
perturbations by Electric Fields decaying at infinity, etc.) There were several talks
concerning estimates on sum of eigenvalues of different operators including the fractional
Laplacian. Also, several speakers gave talks about estimates on the Integrated Density of
States for periodic, almost periodic and random operators. A few talks dealt with different
aspects of superconductivity, including one on vortices of the Ginzburg-Landau equation.
There were at least two talks concerning properties of Hamiltonians including selfgenerated magnetic fields (one at the workshop). There were several talks on LiebThirring inequalities in different settings. Several talks were given on different aspect of
Atomic Physics. Some talks about problems related to inverse problems. Others related
with properties of Scattering Matrices. And some were concerning mathematical
methods, like the talk of Elliot Lieb on the BMS conjecture, or talks on the Bogoliubov
transformation. There were talks on the Quantum Hall effect, talks about Quantum Field
20
Theories, etc. In summary, the regular seminars of the semester provided a good
coverage of many aspects of Magnetic Systems, and related subjects.
Workshop
Coinciding with the participation of Barry Simon (Caltech) during the last week of the
program we organized a four day
workshop (December 10 - December
13), with 10 speakers. The talks
included Lieb-Thirring and Berezin-LiYau inequalities, Atomic Physics
Problems, Self-generated magnetic
fields, Superconductivity, etc. The
workshop also included a history of
mathematics related talk by Barry
Simon, “Tale of our Forefathers".
Finally, there was a general public lecture: “Sonya Kovalevsky: a brilliant mathematical
physicist, her life and work", by R. D. Benguria, at Villa Pauli on December 3, 2012.
The Scientific committee
Rafael Benguria, Pontificia Universidad Católica de Chile
Arne Jensen, Aalborg University
Georgi Raikov, Pontificia Universidad
Católica de Chile
Grigori Rozenblum, Chalmers/University of Göteborg
Jan Philip Solovej, University of Copenhagen
21
Participants 2012 fall
Name
Ivana
Alexandrova
Affiliation
State University of New York
Country
United States
Rafael D.
Benguria
Pontificia Universidad Católica de Chile, Santiago
Chile
Virginie
Bonnaillie-Noël
France
Vincent
Bruneau
Mikkel H.
Brynildsen
IRMAR - Institut de recherche mathématique
de Rennes, Bruz
l'Institut de Mathématique de Bordeaux (IMB),
Talence
Aalborg University
Alexandra
Cojuhari
Linköping University
Sweden
Horia
Cornean
Aalborg University
Denmark
Jean-Claude
Cuenin
Imperial College London
Giuseppe
De Nittis
Semra
Demirel
Friedrich-Alexander-Universität ErlangenNürnberg, Erlangen
University of Stuttgart
United
Kingdom
Germany
Jan
Derezinski
University of Warsaw
Poland
Tomas
Ekholm
KTH Royal Institute of Technology, Stockholm
Sweden
Maria J.
Esteban
France
Pavel
Exner
Sören
Fournais
CNRS - Centre national de la recherche
scientifique, Paris
Nuclear Physics Institute, Academy of Sciences,
Rez near Prague
Aarhus University
Leander
Geisinger
Princeton University
United States
Heiko
Gimperlein
University of Copenhagen
Denmark
Magnus
Goffeng
Leibniz Universität Hannover
Germany
Bernard
Helffer
France
Ira
Herbst
University of Virginia
United States
Kenichi
Ito
University of Tsukuba
Japan
Victor
Ivrii
University of Toronto
Canada
Arne
Jensen
Aalborg University
Denmark
Lev
Kapitanski
University of Miami, Coral Gable
United States
Frédéric
Klopp
Pierre-and-Marie-Curie University, Paris
France
Vadim
Kostrykin
Johannes Gutenberg-Universität Mainz
Germany
Pavel
Kurasov
Stockholm University
Sweden
Yaroslav
Kurylev
University College London
Ari
Laptev
Elliott H.
Lieb
Princeton University
United
Kingdom
United
Kingdom
United States
Douglas
Lundholm
ETH Zürich
Switzerland
Tomás
Chile
Marius
Lungenstrass
Poulsen
Mantoiu
Universidad de Chile, Santiago
Chile
Irina
Markina
University of Bergen
Norway
Pablo
Miranda
Chile
Sergey
Morozov
Ludwig-Maximilians-Universität München
Germany
Shu
Nakamura
University of Tokyo
Japan
Marwa
Nasrallah
Aarhus University
Denmark
22
France
Denmark
Germany
Czech Republic
Denmark
Leonid
Parnovski
Nicolas
Popoff
Université de Rennes 1
United
Kingdom
France
Fabian
Portmann
KTH Royal Institute of Technology, Stockholm
Sweden
Alexander
Pushnitski
King's College London
Gueorgui
Raykov
United
Kingdom
Chile
Nicolas
Raymond
France
Serge
Richard
Université Claude Bernard Lyon 1
France
Constanza
Rojas Molina
Université de Cergy-Pontoise
France
Grigori
Rozenblioum
Chalmers/Göteborgs universitet
Sweden
Lukas
Schimmer
Robert
Schrader
Freie Universität Berlin
United
Kingdom
Germany
Hermann
Schulz-Baldes
Nikolai
Shirokov
Friedrich-Alexander-Universität ErlangenNürnberg, Erlangen
St. Petersburg State University
Heinz
Siedentop
Russian
Federation
Germany
Israel Michael
Sigal
Canada
Barry
Simon
Caltech, California
United States
Erik
Skibsted
Aarhus University
Denmark
Alexander
Sobolev
Jan Philip
Solovej
University of Copenhagen
United
Kingdom
Denmark
Mikael P.
Sundqvist
Lund University
Sweden
Tatiana
Suslina
St. Petersburg State University
Thomas
Sørensen
Russian
Federation
Germany
Grigory
Tashchiyan
Rafael
Russian
Federation
Chile
Matěj
Tiedra de
Aldecoa
Tusek
State University of telecommunications, St.
Petersburg
Czech Technical University in Prague
Czech Republic
Alexander
Vasiliev
Norway
Timo
Weidl
Germany
Dimitri
Yafaev
Institut für Analysis, Dynamik und Modellierung,
Stuttgart
Kenji
Yajima
Gakushuin University, Tokyo
Japan
Jakob
Yngvason
Universität Wien
Austria
Miren
Zubeldia
University of Helsinki
Finland
23
Germany
France
Preprints 2012 fall
01 When the 3D magnetic Laplacian meets an edge in the semiclassical limit Nicolas Popoff, Nicolas Raymond
02 Lyapunov spectra for all symmetry classes of quasi-one-dimensional
disordered systems - Hermann Schulz-Baldes, Andreas Ludwig, Michael Stolz
03 Magnetic Peak Power - Virginie Bonnaillie-Noël, Nicolas Raymond
04 Rayleigh estimates for differential operators on graphs - Pavel Kurasov, Sergei
Naboko
05 Spectral estimates for Dirichlet Laplacians on perturbed twisted tubes Pavel Exner, Diana Barseghyan
06 Homogenization of the Neumann problem for elliptic systems with periodic
coefficients - Tatiana Suslina
07 The finite rank theorem for Toeplitz operators on the Fock space - Alexander
Borichev, Grigori Rozenblum
08 Attractors in hyperspace - Lev Kapitanski, Sanja Zivanovic Gonzalez
09 Variable Time Step Dynamics With Choice - Lev Kapitanski, Sanja Zivanovic
Gonzalez
10 Continuous Limit in Dynamics with Choice - Lev Kapitanski, Sanja Zivanovic
Gonzalez
11 Spectral and scattering theory for perturbation of the Carleman operator Dimitri Yafaev
12 Spectral theory of piecewise continuous functions of self-adjoint operators Alexander Pushnitski, Dimitri Yafaev
13 Explicit formulas for the Schroedinger wave operators in $R^2$ - Serge
Richard, Rafael Tiedra
14 Resonances in Scattering by Two Magnetic Fields at Large Separation and a
Complex Scaling Method - Ivana Alexandrova, Hideo Tamura
15 Memory effects in non-interacting mesoscopic transport - Horia Cornean, Arne
Jensen, Gheorghe Nenciu
16 Spectral minimal partitions of a sector - Virginie Bonnaillie-Noël, Corentin Léna
17 Dirichlet and Neumann Eigenvalues for Half-Plane Magnetic Hamiltonians Vincent Bruneau, Pablo Miranda, Georgi Raikov
18 On spectral minimal partitions : the disk revisited - Virginie Bonnaillie-Noël,
Bernard Helffer
19 Compactness Criteria for Sets and Operators in the Setting of Continuous
Frames - Marius Mantoiu, Daniel Parra
Tomas Ekholm and Fabian Portmann
discussing their paper with Alexander Sobolev.
20 A Magnetic Contribution to the Hardy Inequality - Tomas Ekholm, Fabian
Portmann
21 Positivity of $|gp|^a|gq|^b+|gq|^b|gp|^a$ - Li Chen, Heinz Siedentop
22 A trace formula for eigenvalue clusters of the perturbed Landau Hamiltonian
- Alexander Pushnitski, Georgi Raikov, Carlos Villegas-Blas
24
23 Sub-Riemannian geometry of Stiefel manifolds - Christian Autenried, Irina
Markina
24 Local exclusion and Lieb-Thirring inequalities for intermediate and fractional
statistics - Douglas Lundholm, Jan Philip Solovej
25 Local exclusion for intermediate and fractional statistics - Douglas Lundholm,
Jan Philip Solovej
26 Sharp trace asymptotics for a class of 2D-magnetic operators - Horia
Cornean, Soeren Fournais, Rupert Frank, Bernard Helffer
27 Hypergeometric type functions and their symmetries - Jan Derezi
28 Spectral estimates on the sphere - Jean Dolbeault, Maria Esteban, Ari Laptev
29 Quantum Hall phases and plasma analogy in rotating trapped Bose gases Nicolas Rougerie, Sylvia Serfaty, Jakob Yngvason
30 Quantum Hall states of bosons in rotating anharmonic traps - Nicolas
Rougerie, Sylvia Serfaty, Jakob Yngvason
31 Absence of positive eigenvalues for hard-core N-body systems - Erik Skibsted,
Kenichi Ito
32 On the Verdet constant and Faraday rotation for graphene-like materials Mikkel Haggren Brynildsen, Horia D. Cornean
33 Breaking a magnetic zero locus: asymptotic analysis - Nicolas Raymond
34 The Anderson model with missing sites - Constanza Rojas-Molina
35 Breaking a magnetic zero locus: model operators and numerical approach Virginie Bonnaillie-Noël, Nicolas Raymond
36 The magnetic Laplacian in shrinking tubular neighbourhoods of
hypersurfaces - David Krejcirik, Nicolas Raymond, Matej Tusek
37 Magnetic effects in curved quantum waveguides - David Krejcirik, Nicolas
Raymond
25
Seminars 2012 fall
Arne Jensen ringing the bell in the seminar room.
Photo: Mikael Sundqvist
Speaker
Dimitri Yafaev
Leonid Parnovski
Jakob Yngvason
Frédéric Klopp
Title
Spectral properties of magnetic Hamiltonians (survey)
Integrated density of states for periodic and almost-periodic
operators
Quantum phases of Bosons in rotating traps
Elliott H. Lieb
Absolute continuity of the spectrum of a Landau Hamiltonian
perturbed by a generic periodic potential
Operator error estimates in homogenization problems for elliptic
periodic operators Abstracts will appear soon.
Are pre-existing resonances stable in a small homogeneous
electric field?
Energy of surface states for 3D magnetic (Neumann)
Schrödinger operators
A Trace Formula for the Eigenvalue Clusters of the Perturbed
Landau Hamiltonian
The spectral density of the scattering matrix of the magnetic
Schrödinger operator for high energies
The 36 Year Old Saga of the BMV Conjecture
Israel Michael Sigal
Magnetic Vortices in Superconductivity
Jan Derezinski
General properties of Bogoliubov transformations
Leander Geisinger
Refined semiclassics for Laplace operators on bounded domains
Tatiana Suslina
Ira Herbst
Marwa Nasrallah
Gueorgui Raykov
Alexander Pushnitski
Horia Cornean
Spectral stability of Schrodinger and Harper operators at long
range magnetic perturbations
Shu Nakamura
Propagation of singularities for perturbed harmonic oscillators
and Landau Hamiltonian
Constanza Rojas Molina Delone-Anderson operators: Transport properties in disordered
aperiodic structures and the Integrated Density of States
Douglas Lundholm
Hardy and Lieb-Thirring inequalities for anyons
Nicolas Raymond
Normal Forms for the Semiclassical Magnetic Laplacian
Pavel Exner
Spectral estimates for some “non-Weyl” Schrödinger operators
Miren Zubeldia
Irina Markina
The forward problem for the electromagnetic Helmholtz
equation with singular potential
On geometrical background of the Yang-Mills theory
Alexander Vasiliev
Evolution of smooth shapes and the KP hierarchy
Maria J. Esteban
Critical magnetic fields for the Dirac-Coulomb operator
Lev Kapitanski
On the models of Skyrme and Faddeev
Semra Demirel
Lieb-Thirring inequalities and Levinson's formula for quantum
graphs
26
Alexander Sobolev
Kenichi Ito
Asymptotics of the extreme eigenvalues for some Toeplitz-type
operators
Schrödinger operator in planar domains with corners and in the
half-space
Spectrum of the magnetic Schrödinger operator on an infinite
wedge
Absence of positive eigenvalues for hard-core $N$-body
systems
Absence of embedded eigenvalues for Riemannian Laplacians
Grigori Rozenblioum &
Nikolai Shirokov
Grigori Rozenblioum &
Grigory Tashchiyan
Zero modes of the 2D Pauli operator. Beyond Aharonov-Casher
The splitting of the Landau levels under a perturbation of the
magnetic field
Nicolas Popoff
Erik Skibsted
Grigori Rozenblioum in action.
Thomas Østergaard
Real analyticity of solutions to some nonlocal equations
Sørensen
Hermann Schulz-Baldes Orbital magnetization for independent particles in disordered
media
Pavel Kurasov
How can magnetic field help to solve inverse problems for
quantum graphs
Giuseppe De Nittis
Generalized TKNN-equations
Jan Philip Solovej
Anders Karlhede
Ivana Alexandrova
Bernard Helffer
Yaroslav Kurylev
Semi-classics for Schrödinger and Pauli operators with selfgenerated magnetic fields
An exactly solvable model for the quantum Hall effect
Resonances in Scattering by Two Magnetic Fields at Large
Separation
Minimal partitions and Aharonov-Bohm hamiltonians
Matěj Tusek
Laplacian on collapsing manifolds and stability of inverse
problems
On thin quantum layers
Magnus Goffeng
Charge deficiencies and Landau levels
Fabian Portmann
Magnetic Hardy Inequalities
Sergey Morozov
Jean-Claude Cuenin
High energy asymptotics of integrated density of states for
multidimensional (almost-)periodic operators
Eigenvalue estimates for non-selfadjoint Dirac operators
Vincent Bruneau
Spectral accumulation at the Landau levels
Mikkel H. Brynildsen
Towards spectral gaps in graphene in a weak magnetic field
Rafael D. Benguria
Lieb-Oxford Bounds with Gradient Corrections
Robert Schrader
Quantum electrodynamics in halfspace
Pablo Miranda
Eigenvalue Asymptotics for Dirichlet and Neumann Half-plane
Magnetic Hamiltonians
Magnetic compactness
Marius Mantoiu
Serge Richard
New representation formulas for the wave operators in potential
scattering on $R^3$
27
Rafael Tiedra de
Aldecoa
Timo Weidl
Commutator methods for unitary operators
Barry Simon
Sharp semiclassical estimates in the magnetic and the nonmagnetic case
On some spectral inequalities for Schrödinger operators on
graphs
Tales of our Forefathers
Lev Kapitanski
Dynamics with Choice
Geometry influence on the superconductivity emergence
Victor Ivrii
Heinz Siedentop
Large atoms and molecules with magnetic field, including selfgenerated magnetic field, (Results: old, new, in progress and in
perspective)
Inequaltities related to the excess charge problem
Kenji Yajima
Shrödinger equations with strong magnetic fields
Sören Fournais
Semiclassics in self-generated magnetic fields
Vadim Kostrykin
On $2\times 2$ Symmetric Matrices
Ari Laptev
Magnus Goffeng giving a lecture. Photo: Mikael Sundqvist
28
Shorter programs
Summer 2012 was the first year (over a long time) that the Institute arranged
workshops and a summer school.
Altogether it was 97 participants in these shorter programs.
Advances in Mathematical Analysis of Partial
Differential Equations
in honour of Olga A. Ladyzhenskaya
9 - 13 July 2012
This portrait of Olga A. Ladyzhenskaya was
painted by B.K. Ivochkin and donated to the
Institute by his wife N. Ivochkina.
The year 2012 was the 90th anniversary of the outstanding Russian mathematician Olga
Alexandrovna Ladyzhenskaya. Institut Mittag-Leffler, in cooperation with St Petersburg
Department of Steklov Institute of Mathematics, was organizing an international
workshop “Advances in Mathematical Analysis of Partial Differential Equations". The
members of the Organizing Committee were: Sergey Repin, Gregory Seregin, Henrik
Shahgholian, Nina Uraltseva. This workshop was partially supported by the European
Mathematical Society.
The objective was to bring together experts in the field of Partial Differential Equations,
to honor the memory of Olga Alexandrovna Ladyzhenskaya, and to pay tribute to her
scientific legacy.
Topics in PDE's, in which Olga Alexandrovna Ladyzhenskaya made signifcant
contributions, were presented quite well on this workshop. Among them were the theory
of PDE's of elliptic and parabolic types (Anderson, Apushkinskaya, Archipova, Ivochkina,
Krylov, Maz’ya, Safonov), the mathematical theory of viscous fluids (Beirão da Veiga,
Friedlander, Fuchs, Fursikov, Pukhnachev, Seregin, Shilkin, Solonnikov, Zhikov), and the
attractor theory (Kalantarov). In addition, there were talks on topics being always of
interest of Olga A Ladyzhenskaya such as geometrical PDE's (Giaquinta, Hildebrandt),
coersive estimates (Amann, Nazarov), embedding theorem (Esteban), and various
applications (Jäger, Marcovich).
Vladimir Maz’ya lecturing at the conference
“Advances in Mathematical Analysis of Partial
Differential Equations”.
29
Conference contributions
Parabolic equations on singular manifolds - Herbert Amann, Zürich
Regularity for the Signorini Problem - John Andersson, Warwick
L∞-estimates for derivatives of solutions to some parabolic free boundary problem Darya Apushkinskaya, Saarbrücken
Signorini-type problem with a nonconvex obstacle in RN - Arina Arkhipova, St. Petersburg
On the global regularity for singular p-systems under non-homogeneous Dirichlet
boundary conditions - Hugo Beirão da Veiga, Pisa
The microlocal range of nonsolvable operators of principal type - Nils Denker, Lund
Functional inequalities and the symmetry properties of the extremal functions - Maria
Esteban, CNRS & University Paris-Dauphine
Well/Ill-posedness results for an active scalar equation - Susan Friedlander, Los Angeles
Recent results for generalized Newtonian fluids in 2D: stationary Case - Martin Fuchs,
Saarbrücken
Equation of normal type corresponding to 3D Navier-Stokes system - A.V.Fursikov,
Moscow
Strain and stress in nonlinear elasticity – Mariano Giaquinta, Pisa
Some remarks on Plateau's problem - Stefan Hildebrandt, Bonn
L. Gårding cones in the theory of m-Hessian equations - N. M. Ivochkina, St.-Petersburg
Transmission problems for reactive flow and transport-multiscale analysis of the
interactions of solutes with a solid phase - Willi Jäger, Heidelberg
Damped nonlinear wave equations:Stability and instability of solutions - Varga K.
Kalantarov, Istanbul
On the existence of smooth solutions for fully nonlinear elliptic equations with
measurable “coeffcients" without convexity assumptions - Nicolai Krylov, Minneapolis
On Wigner and Bohmian measures in semiclassical quantum mechanics - Peter
Markowich, KAUST, Saudi Arabia
Higher order elliptic problems in non-smooth domains - Vladimir Mazya, Linköping and
Liverpool
On the Dirichlet and Neumann problems for parabolic non-divergence equations with
coeffcients measurable in time - Alexander Nazarov, St. Petersburg
Boundary value problem for Navier-Stokes equations in domain with multiply connected
boundary – Vladislav V. Pukhnachev, Novosibirsk
The interior and boundary estimates for solutions to second order elliptic and parabolic
equations with unbounded drift - Mikhail Safonov, Minneapolis
30
On a certain condition of a blow up for the Navier-Stokes equations - Gregory Seregin,
Oxford and St. Petersburg
Local estimates of solutions to the Stokes system near a curved part of the boundary Timofey Shilkin, St. Petersburg
On some problems of magnetohydrodynamics - Vsevolod Solonnikov, St. Petersburg
Solvability of generalized Navier-Stokes equation - Zhikov, Volgograd
Participants
Herbert
John E.
Darya
Arina
Hugo
Nils
Maria J.
Susan
Martin
Andrei
Mariano
Stefan
Nina
Willi
Varga
Nicolai
Peter A.
Vladimir
Alexander
Vladislav
Mikhail
Gregory
Henrik
Timofey
Vsevolod
Nina
Vasily V.
Amann
Andersson
Apushkinskaya
Arkhipova
Beirão Da Veiga
Dencker
Esteban
Friedlander
Fuchs
Fursikov
Giaquinta
Hildebrandt
Ivochkina
Jäger
Kalantarov
Krylov
Markowich
Maz'ya
Nazarov
Pukhnachev
Safonov
Seregin
Shahgholian
Shilkin
Solonnikov
Uraltseva
Zhikov
31
Complex Analysis and Integrable Systems
in memory of Boris Korenblum (1923-2011)
6 - 11 August 2012
The fall 2011 semester program “Complex Analysis and Integrable
Systems” was very successful and the organizing committee of the
program decided to hold a concluding workshop at the Mittag-Leffler
Institute 6-11 August 2012 with the same name. At the program’s end, sad news came,
our esteemed colleague, professor Boris Korenblum passed away. His research influenced
several fields related to our program such as Singular integrals and Fourier series,
Tauberian theorems, Quasi-analytic functions, Zero sets and factorization, Cyclicity in
function classes, Bergman spaces, Tomography. Therefore, we decided to dedicate our
workshop to his memory, organizing a special session and tribute lectures. Professors
Catherine Bénéteau (Tampa) and Kehe Zhu (Albany) extended about Boris’ mathematical
work. All in all, the participants of the workshop gave 26 lectures, 45 min each, 8
lectures were given by participants from Scandinavian countries. Last day was left for
younger participants at Ph.D./Post-doc level.
The scientific mainstream was focused on 3 related topics: Laplacian growth and
integrable systems (King, Takebe, Jurdjevic, Vasoncelos, Mineev-Weinstein), Loewner
evolution and random processes (Ivanov, Sola, Makarov, Haimi), Complex Analysis and
Operator Theory (Bénéteau, Khavinson, Zhu, Lyubarskii, Hedenmalm, Aleman, Barnard,
Vukotic, Brennan, Stray, Malinnikova, Stylianopoulos). Some talks were dedicated to
recent developments in classical analysis.
Several lectures were of survey style but some new results were presented as a result of
collaboration during the fall 2011 semester program at Institut Mittag-Leffler. Among
them we highlight a joint result by Vasconcelos and Mineev-Weinstein on the solution of
the selection problem in the bubble dynamics in the Hele-Shaw channel geometry
without use of the surface tension mechanism; new results in the Krzyz conjecture by
Vukotic; a complete result on the properties of p-harmonic measure of simply connected
plane domains and endpoint type results for the Hausdorff dimension of this measure in
simply connected domains by Lewis; new applications of special functions in disparate
fields such as Number Theory, Algebra, Statistics and Asymptotic Statistics by Barnard.
Social activities nicely complemented scientific discussions.
Conference contributions
Special lecture in the memory of Boris Korenblum - Catherine Bénéteau, University of
South Florida, Tampa, USA
The mathematics of Boris Korenblum - Kehe Zhu, State University of New York at Albany,
USA
Extremal domains for the analytic content - Dmitry Khavinson, University of South
Florida, Tampa, USA; joint with A. Abanov, C. Bénéteau and R. Teodorescu
Boundary behavior of functions from the Korenblum spaces - Yurii Lyubarskii, Norwegian
University of Science and Technology, Trondheim, Norway
TBA - Haakan Hedenmalm, KTH Royal Institute of Technology, Stockholm, Sweden
Applications of special functions to disparate fields - Roger Barnard, Texas Tech
University, Lubbock, USA
32
On extremal functions for the Krzyz conjecture - Dragan Vukotic, Universidad Autonoma
de Madrid, Spain
The uniqueness property of the analytic functions on closed sets without interior points James Brennan, University of Kentucky, Lexington, USA
Complex variable methods for free boundary problems - John King, University of
Nottingham, UK
p-harmonic measure revisited - John Lewis, University of Kentucky, Lexington, USA
Invariant subspaces for differentiation and Volterra operators - Alexandru Aleman, Lund
University, Sweden
Dynamics of the Schwarz function - Nikolai Makarov, Caltech, Pasadena, USA
Holomorphy via integral geometry - Mark Agranovsky, Bar Ilan University, Ramat Gan,
Israel
The metric geometry of Carnot-Caratheodory space with C1-smooth vector fields and
applications - Serguei Vodopyanov, Sobolev Institute of Mathematics, Novosibirsk, Russia
Metric properties of polynomials on compact isotropy irreducible homogeneous spaces Victor Gichev, Omsk branch of Sobolev Institute of Mathematics, Omsk, Russia
Remembering Boris Korenblum (pictures, family reminiscences) - Marina and Danny
Korenblum
ħ-expansion of integrable hierarchies - recursive construction of solutions - Takashi
Takebe, Higher School of Economics, Moscow, Russia
Jacobi's geodesic problem and integrable systems on Lie groups - Velimir Jurdjevic,
University of Toronto, Canada
Two problems connected with approximation and interpolation in the unit disc - Arne
Stray, University of Bergen, Norway
Steadily moving bubbles in a Hele-Shaw cell: the complete story - Giovani Vasconcelos,
Universidade Federal de Pernambuco, Recife, Brazil
The dynamics and selection of a bubble in a Hele-Shaw channel without surface tension:
an exact result - Mark Mineev-Weinstein, New Mexico Consortium, Los Alamos, USA
Composition operators in model spaces - Eugenia Malinnikova, Norwegian University of
Science and Technology, Trondheim, Norway
On slit geometry of the Loewner evolution - Georgy Ivanov, University of Bergen, Norway
Quasiconformal extension of harmonic mappings - Maria Jose Martin Gomez, Universidad
Autonoma de Madrid, Spain
Bergman polynomials on Archipelaga: Theory and applications to geometric tomography
- Nikos Stylianopoulos, University of Cyprus, Nicosia, Cyprus
Polyanalytic functions and random point processes - Antti Haimi, KTH Royal Institute of
Technology, Stockholm, Sweden
33
Loewner equation, compound Poisson processes, and random growth - Alan Sola,
University of Cambridge, UK
Most of the participants in the conference ”Complex analysis and Integrable Systems”.
Participants
Mark
Agranovsky
Bar-Ilan University
Alexandru
Aleman
Lund University
Roger
Barnard
Texas Tech University
Catherine
Beneteau
University of South Florida
James
Brennan
University of Kentucky
Victor
Gichev
Omsk Branch of Sobolev Institute
of Mathematics
Björn
Gustafsson
Håkan
Hedenmalm
Georgy
Ivanov
Maria
Jose Martin
Universidad Autónoma de Madrid
Velimir
Jurdjevic
Dmitry
Khavinson
University of South Florida
John
King
University of Nottingham
Danny
Korenblum
Marina
Korenblum
John
Lewis
University of Kentucky
Yurii
Lyubarskii
NTNU - Norwegian University of
Science and Technology
Nikolai
Makarov
Caltech
Eugenia
Malinnikova
NTNU - Norwegian University of
Science and Technology
Mark
NMC, Los Alamos
David
MineevWeinstein
Shoikhet
Alan
Sola
University of Cambridge
Arne
Stray
Nikos
Stylianopoulos
University of Cyprus
ORT Braude College of Engineering
34
Takashi
Takebe
Higher School of Economics
Giovani
Vasconcelos
Federal University of Pernambuco
Alexander
Vasiliev
Sergei
Vodopyanov
Sobolev Institute of Mathematics
Dragan
Vukotic
Universidad Autónoma de Madrid
Kehe
Zhu
State university of New York at
Albany
Discrete Morse Theory and Commutative Algebra
summer school
18 July - 1 August 2012
Scientific content
Given a smooth manifold, it is always possible to realize it as a triangulation, that is, as a
complex of simplices glued together. Discrete Morse theory is a way to simplify a
triangulation (or more generally, a simplicial complex) maintaining some of its topological
properties, like its homotopy type. Robin Forman introduced it in 1998. The subject is
relatively young and it has gained quite a popularity in the last few years, also in
connection with applications to physics, algebra, and computer science.
We presented a joint course that rapidly brought 26 excellent young students from all
over the world from basic notions to advanced research topics. Part of the goal was to
produce a textbook out of these lectures, with the active feedback of the students. The
book will be published during autumn 2013 at EMS Publishing house.
In his lectures, Bruno Benedetti focused more on a geometric toolbox for Discrete Morse
Theory. He showed how the notions of convexity and non-positive curvature come into
play, implying the existence of nice discrete Morse functions. In contrast, knot theory can
be used to exclude the existence of nice discrete Morse functions, on some 3-dimensional
triangulations. Finally, he lectured on the parallelism between Morse theory in differential
geometry, and its discretization.
Alexander Engström focused instead on a combinatorial-algebraic approach to discrete
Morse theory. He highlighted applications to some statistical models in physics, and to
commutative algebra, especially to resolutions of Stanley-Reisner ideals and to
computations of Betti numbers for lattice ideals. He also introduced the audience to
diagrams of spaces and their applications to subspace arrangements, as topological
realizations of matroids and the Goresky-MacPherson formula.
All lectures were self-contained, and
adapted as much as possible to the
students' background.
Intensive two weeks of summer school
“Discrete Morse Theory and Commutative
Algebra”. A. Engström and E. Sköldberg
prepare new lecture while B. Benedetti is
lecturing. Anders Björner Karim Adiprasio,
Matthew Stamps, Ragnar Freij and Patrik
Norén were also given lectures.
Photo I. Halvarsson
35
Organization
For the first time Institut Mittag-Leffler organized a summer school. During two beautiful
weeks July 18-30 in total 26 students, primary on postgraduate level, listened to
lectures, solved exercises and explored group projects. We were very lucky in having a
large number of qualified applicants, and were able to select students both from some of
the most prominent research universities and from institutes of higher education in poor
countries whose students don’t have many opportunities. We also strived for a creative
mix in background, age, and gender, to encourage new interactions.
The ordinary schedule started with two two-hour morning lectures by the organizers,
Bruno Benedetti and Alexander Engström. From the start, the students were sorted into
groups. The group activity consisted in solved exercises that were introduced during the
morning lectures. The assistants Karim Adiprasito and Matthew Stamps, with the help of
the co-assistants Ragnar Freij and Patrik Norén, supported the students throughout the
problem solving sessions. We tried to form groups as much homogeneous as possible,
basing ourselves on the students' background and expertise. Also, we tried to separate
students of the same nationality, also in order to encourage them to discuss in English.
During the second week of the program, we asked the students to describe which of the
covered topics they were mostly interested in, and why. Based on their very detailed
answers (and on their previous research experience), the students were divided into
seven groups, each working on a small project. We specifically designed these projects in
advance as a possible start of a longer research project.
Perhaps the highlight of the summer school consisted of the two beautiful guest lectures,
given by senior researchers as Anders Björner and Emil Sköldberg. Each of the four
assistants gave also a guest lecture on their work.
But the most important part of a successful summer school is of course the interaction
with the students. We were blessed with a wonderful group of active and attentive young
students, who made lecturing indeed a pleasure.
The students and organizers lived at the Institut Mittag-Leffler premises. A catering
company providing traditional Swedish food served breakfast and lunch daily in the
yellow villa. Coffee and cookies (we found the secret storage) was provided in the
breaks, most afternoons while enjoying the sun on the roof terrace. The Institute not
only provided funding for all this, but also offered to reimburse flights for the students
that could not afford it otherwise.
We did two whole day excursions. The first one was to the Grinda Island in the
Stockholm archipelago. The second one was a ”palace tour” on foot from Institut MittagLeffler to the Stockholm Royal Palace via the Ulriksdal, Haga and Karlberg Palaces, and
the Stockholm City Hall.
The students and organizers truly enjoyed their time at Institut Mittag-Leffler and
although funding and the villa itself are of huge importance, it would have been
impossible without the help of the always happy staff of the Institute.
Participants
Aas, Erik
Baralic, Dorde
Bolognini, Davide
Chen, Hao
Cohen, Moshe
Connon, Emma
KTH, Stockholm, Sweden
SANU, Beograd, Serbia
U Genova, Italy
FU Berlin, Germany
Bar-Ilan U, Tel Aviv
Dalhouise U, Halifax, Canada
36
Sweden
Serbia
Italy
China
Israel/USA
Canada
De Alba Casillas, Hernán
Dolguntseva, Irina
Dumitrescu, Olivia
Goodarzi, Afshin
Grunert, Romain
Güler, Hakan
Irmer, Ingrid
Jeffries, Jack
Katthän, Lukas
Kirveslahti, Henry
Kukiela, Michal
Kumar, Pankaj
Macchia, Antonio
Merz, Marianne
Potka, Samu
Samper, Jose Alejandro
Sarmiento, Camilo
Sentinelli, Paolo
Stamate, Dumitru
Tadesse, Yohannes
U Fourier, Grenoble, France
Sobolev I., Novosibirsk
UC Davis, USA
Stockholm U, Sweden
FU Berlin, Germany
Süleyman Demirel U, Turkey
U Bonn, Germany
U Utah, USA
U Marburg, Germany
Aalto U, Finland
Copernicus U, Poland
Perm State U, Russia
U Bari, Italy
FU Berlin, Germany
Aalto U, Finland
Washington U, USA
Max Planck, Leipzig, Germany
U Tor Vergata, Rome, Italy
U Bucarest, Romania
Stockholm U, Sweden
Alexander Engström and Bruno Benedetti the two
organisers of the summer school “Discrete Morse
Theory and Commutative Algebra”.
Photo I. Halvarsson
37
Mexico
Russia
Romania
Iran
Germany
Turkey
Australia
USA
Germany
Finland
Poland
India
Italy
Germany
Finland
Colombia
Colombia
Italy
Romania
Ethiopia
Kleindagarna
"Kleindagarna" is a didactic conference, bringing together Swedish upper secondary
school teachers and active researchers in mathematics. The conference is related to the
international Klein project. In 2008 International Mathematical Union, IMU and
International Commission on Mathematical Instruction, ICMI commissioned a project to
revisit the intent of Felix Klein (1849-1925) when he wrote Elementary Mathematics from
an Advanced Standpoint one hundred years earlier.
For the second time the Swedish Committee for Education in Mathematics, SKM, together
with The Swedish National Committee for Mathematics, Mattebron and the Institute
organised “Kleindagarna” the Swedish part of this international project. 21 high school
teachers and 8 university teachers participated.
Henrik Pettersson, Hvitfeldtska gymnasium in Göteborg at the black board. He is one of the ”lesson pilotes” who here is leading
the lesson development discussion. Photo: Samuel Bengmark
38
Participants from the Nordic Countries
Denmark
Mikkel H. Brynildsen
Horia Cornean
Johan Dupont
Sören Fournais
Heiko Gimperlein
Arne Jensen
Marwa Nasrallah
Erik Skibsted
Jan Philip Solovej
Thomas Østergaard Sørensen
Thomas Østergaard
Sørensen listening to Jan
Philip Solovej.
Finland
Vesa Ala-Mattila
Alexander Engström
Henry Kirveslahti
Patrik Norén
Jouni Parkkonen
Samu Potka
Matthew Stamps
Pekka Tukia
Miren Zubeldia
Vesa Ala-Mattila and Jouni
Parkkonen two of the
Finnish scientists 2012.
Iceland
Rögnvaldur (Röggi) Möller
Jakob Yngvasson
Norway
Georgy Ivanov
Yurii Lyubarskii
Eugenia Malinnikova
Irina Markina
Arne Stray
Alexander Vasiliev
Sweden
Erik Aas
Alexandru Aleman
Bruno Benedetti
Anders Björner
Michelle Bucher
Wojcieh Chacholski
Alexandra Cojuhari
Nils Dencker
Tomas Ekholm
Ragnar Freij
Magnus Goffeng
Afshin Goodarzi
Björn Gustafsson
Håkan Hedenmalm
Milagros Izquierdo
Fredrik Johansson Viklund
Anders Karlsson
Michelle Bucher and Anders
Karlsson two of the
organisers of the spring
program. They had also the
opportunity to be RIP
scientists.
39
Pavel Kurasov
Douglas Lundholm
Vladimir Maz’ya
Fabian Portmann
Grigori Rozenblioum
Henrik Shahgholian
Alan Sola
Mikael P. Sundqvist
Yannes Tadesse
RIP (Research in Peace)
Michelle Bucher, University of Geneva
Jean-Claude Cuenin, Imperial College London
Alexander Grigoryan, Bielefeld University
Anders Karlsson, University of Geneva
Eugene Shargorodsky, King’s College London
Michael Solomyak, Weizmann Institute of Science
Christiane Tretter, University of Bern
40
Publications
Institut Mittag-Leffler publishes two research journals. Acta Mathematica was founded by
Gösta Mittag-Leffler in 1882, while Arkiv för matematik traces its roots back to a journal
founded in 1903 by the Royal Swedish Academy of Sciences.
Since January 1, 2006, Springer is handling printing, subscriptions and distribution of
both journals. Naturally, the Institute retains full ownership and full editorial control of
the journals. All back volumes of both journals have been digitized by Springer and are
available on the web for subscribers.
The way in which scientific journals are purchased has changed significantly over the past
few years. The traditional model of subscribing to printed publications is increasingly
being replaced by individually negotiated agreements for online access, including
consortia, multi-site licenses, and site licenses, all referred to as “online deals”. Overall
this will lead to a wider exposure, as well as increased visibility and usage.
Acta Mathematica
2 volumes/year: 4 issues, totally 800 pp during 2012
During 2012 the issues 208:1-2 and 209:1-2 have appeared with in total 7 articles.
The influx of manuscripts has been very good.
Traditional institutional subscriptions have increased to 301 copies (2011: 146 copies).
Online deals have decreased to 7 241 (2011: 7 448). In this way the journal is reached
by 1 887 (2011: 1 174) American, 1 626 (2011: 1 449) Asia Pacific and 3 728 (2011:
4 825) EMEA (European, Middle East and African) departments and institutions at
different universities.
Through our agreement with Springer our subscribers have online access all the way
back to the very first issue of Acta Mathematica, Vol 1, 1882.
Editorial Board:
Ari Laptev, Editor-in-Chief, Institut Mittag-Leffler
Tobias Holck Colding, Massachusetts Institute of Technology, USA
Håkan Eliasson, Université Paris 7, France
Jens Carsten Jantzen, University of Aarhus, Denmark
Kurt Johansson, KTH Royal Institute of Technology, Stockholm, Sweden
Pekka Koskela, University of
Jyväskylä, Finland
John Rognes, University of
Oslo, Norway
Technical Editors:
Anders Björn, Linköping
University, Sweden
Federico Incitti, Institut
Mittag-Leffler
Acta Mathematica Editorial Board meeting in the November 2012. From the left A. Laptev,
J. Rognes, H. Eliasson, J.C. Jantzen, K. Johansson, T.H. Colding, P. Koskela and F. Incitti.
Editorial Assistant:
Marie-Louise Koskull, Institut
Mittag-Leffler
Ari Laptev, J. Rognes, H. Eliasson, J. C. Jantzen, K.
Johansson, T. H. Colding, P. Koskela and F. Incitti.
Margareta Wiberg Roland, Institut Mittag-Leffler
41
Arkiv för matematik
1 volume/year (2 issues, totally 400 pp)
The issues 50:1-2 have appeared during 2012
within total 23 articles.
The influx of manuscripts has been sufficient.
Traditional institutional subscriptions have decreased to 119 copies (2011: 146 copies).
Online deals have decreased to 6 928 (2011: 7 178). In this way the journal is reached
by 1 726 (2011: 1 079) American, 1 628 (2011: 1 299) Asia Pacific and 3 574 (2011:
4 800) EMEA (European, Middle East and African) departments and institutions at
different universities.
Through our agreement with Springer our subscribers have online access back to the
very first issue of Arkiv för matematik.
Editorial Board:
Ari Laptev, Editor-in-Chief, Institut Mittag-Leffler
Tobias Ekholm, Deputy Editor-in-Chief, Institut Mittag-Leffler
Mats Andersson, Chalmers University of Technology, Göteborg
Nils Dencker, Lund University
Carel Faber, KTH Royal Institute of Technology, Stockholm, Sweden
Volodymyr Mazorchuk, Uppsala University
Peter Sjögren, Göteborg University, Sweden
Jeffrey Steif, Chalmers University of Technology, Göteborg, Sweden
Technical Editor:
Anders Björn, Linköping University, Sweden
Editorial Assistant:
Margareta Wiberg Roland, Institut Mittag-Leffler
Jenny Wiklund, Institut Mittag-Leffler from May 2012
42
Library and historical archive
During 2012 Institut Mittag-Leffler still subscribed mainly to printed journals.
In addition to these 110 journals, around 60 more are received in exchange for Acta Mathematica
and Arkiv för matematik.
The extensive project of registering books, journals and documents at IML has continued through the
year.
Documents and information from the IML archive are in great
request. This includes the photographs collected by Gösta MittagLeffler. As an example, several photos in the recent, much
appreciated biography of Anne Charlotte Leffler (Gösta MittagLeffler's sister) by Monica Lauritzen came from this collection.
Arthur, Gösta, Frits and Anne Charlotte, the
four siblings Leffler. Photo taken at the end of
the 1860s.
Many guests at IML during the year have got a glimpse of the history of mathematics from the rich
archive for rare books.
The original manuscript which Henri Poincaré submitted in May 1888 for Oscar II's prize competition
was recently found, and through a generous donation by Ulf R. Johansson, Malmö its new home is at
Institut Mittag-Leffler. The Institute now hosts most of the existing documents and letters around the
famous prize.
Sandra Olofsson and Grim Skarsgård from Uppsala
University visited IML to study books and correspondence
associated with Torsten Brodén (1857-1931) and his
treatment of Russell's paradox.
43
The board of Institut Mittag-Leffler
Michael Benedicks, KTH Royal Institute of Technology, Stockholm
Bo Berndtsson, Chalmers University of Technology, CTH, Göteborg
Anders Björner, KTH Royal Institute of Technology, Stockholm, Chairman
Nils Dencker, Lund University
Tobias Ekholm, Uppsala University/Institut Mittag-Leffler
Carel Faber, KTH Royal Institute of Technology, Stockholm, from 12 Dec 2012
Bjørn Jahren, University of Oslo, Vice Chairman
Kurt Johansson, KTH Royal Institute of Technology, Stockholm
Ari Laptev Institut Mittag-Leffler
Mikael Rørdam, University of Copenhagen
Eero Saksman, University of Helsinki
Ragnar Sigurdsson, University of Iceland, Reykjavik
Anna-Karin Thornberg, KTH Royal Institute of Technology, Stockholm
Administration
Ari Laptev
Tobias Ekholm
Inger Halvarsson
Federico Incitti, Rome
Alexander Koponen
Marie-Louise Koskull
Tatiana Lindener
Fawzi Mourou
Graeme Pollock
Mikael Rågstedt
Margareta Wiberg Roland
Jenny Wiklund
Director, 60%
Deputy Director 40%
Administrator of the scientific program
Technical editor of Acta Mathematica, 67%
Computer administrator 60%
Editorial Assistant, Acta Mathematica
Library Assistant, project employee
Caretaker
Computer administrator 60%
Librarian
Head of administration and economy
Administrator and Editorial Assistant for Arkiv för
Matematik from May 2012
Tobias Ekholm, Deputy Director and Ari Laptev, Director of
Institut Mittag-Leffler. Photo: Jenny Wiklund
44
In memoriam
Lars Hörmander
who made fundamental contributions to all areas of partial differential equations and was
the director of Institut Mittag-Leffler 1984-1986,
died on 25 November 2012, aged 81.
45
Financial statement
(kSEK)
Result 2012
Result 2011
1 319
1 854
10 000
2 500
Grant Income
2 467
2 228
Other Income
357
455
14 143
7 037
Income
Contributions from Nordic countries
Contribution from the Swedish Research
Council (VR)
Total External Income
Journals net
368
303
2 540
3 370
17 050
10 710
Grants, travels, social activities
3 414
2 337
Offices and Lodging
6 520
3 323
Library
1 398
1 365
Administration
5 718
3 685
17 050
10 710
From the Endowment
Total Income
Expenditure
Total Costs
46

2012 - Mittag

Transcription

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