booklet - Universität Heidelberg

Contents
1 Welcome
1
2 Summer School
2.1 Lectures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
2.2 Schedule . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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3 Conference
3.1 Talks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
3.2 Schedule . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
3.3 Abstracts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
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4 Practical Information
4.1 Public transport . .
4.2 Hotels . . . . . . .
4.3 Summer School and
4.4 Food and Drink . .
4.5 Internet Access . .
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Conference
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11
11
11
11
12
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5 Social Program
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6 Heidelberg Sights - Top 10
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7 Participants
15
8 Notes
18
Map - Campus Im Neuenheimer Feld (INF)
19
1
Welcome
Dear Participant,
We welcome you to the summer school and conference on ”Computations with Modular
Forms 2011”.
The main focus of the conference is the development and application of algorithms in
the field of modular and automorphic forms. Prior to the conference there is a summer
school in Heidelberg from Aug 29 to Sep 2. It covers several current topics of the theory and
computation of modular forms. The summer school is aimed at young researchers and PhD
students working or interested in this area.
This booklet contains schedules and abstracts of the talks. Moreover, you will find further
practical information on Heidelberg, the offered social program and a map of the campus Im
Neuenheimer Feld. At the end of this booklet you will find a list of all the participants of these
events. There are two further maps with informations on sights and connections included in
your welcome bag.
We hope you will enjoy your time at the University of Heidelberg!
The organizers
Gebhard Böckle, John Voight and Gabor Wiese
1
2
2.1
Summer School
Lecture series
Henri Darmon - p-adic Rankin L-functions: a computational perspective
In this series, I will describe the construction of p-adic Rankin L-functions and raise the
question of how to compute them efficiently in polynomial time.
Paul Gunnells - Arithmetic groups, automorphic forms, and Hecke operators
Arithmetic groups are discrete subgroups of Lie groups; for basic examples one should think
of the modular group SL(2, Z), the Siegel modular group Sp(2n, Z), and their congruence subgroups. The cohomology of such groups provides a concrete realization of certain automorphic
forms, in particular automorphic forms that are conjectured to have a close relationship with
arithmetic geometry. For instance, by results of Eichler-Shimura the cohomology of congruence subgroups of the modular group gives a way to explicitly compute with holomorphic
modular forms.
In this course we will explore this connection between topology and number theory, with
the goal of presenting tools one can use to compute with these objects. We will review the
situation for SL(2, Z) and then will discuss how one computes with other groups, especially
SL(n, Z) and GL(n) over number fields; the latter family includes Hilbert modular forms.
Special emphasis will be placed on how one can compute the action of the Hecke operators on
the cohomology corresponding to cuspidal automorphic forms.
Topics for the lectures include the following: cohomology of arithmetic groups and connections with representation theory and automorphic forms, modular symbols, explicit polyhedral
reduction theory, Hecke operators, connections to Galois representations.
Background reading: http//:www1.iwr.uni-heidelberg.de/conferences/modularforms11/
welcome/backgroundgunnels/.
David Loeffler - Automorphic forms for definite unitary groups
I will describe an approach to computing automorphic forms for a certain class of reductive
groups where the theory can be made purely algebraic. The most prominent examples of such
groups are definite unitary groups (in any number of variables). I will explain the construction
(due to Gross) of algebraic automorphic forms for such groups, and how this leads naturally to
an algorithm for calculating these spaces using lattice enumeration techniques. I will illustrate
this with some examples of computational results for unitary groups in 3 and 4 variables, and
describe how the results can be interpreted in terms of Galois representations.
Robert Pollack - Overconvergent modular symbols
The theory of modular symbols, which dates back to the 70s, allows one to algebraically
compute special values of L-series of modular forms. In the 90s, Glenn Stevens introduced the
notion of overconvergent modular symbols which is a p-adic extension of the classical theory.
2
In the end, overconvergent modular symbols encode p-adic congruences between special values
of L-series, and in particular, are intimately related to p-adic L-functions.
This course will give a down-to-earth introduction to the theory of overconvergent modular
symbols. This theory has the great feature of being extremely concrete, and as a result,
extremely computable. We will explain concrete methods to compute overconvergent symbols
in practice, and as an application, one obtains algorithms to compute p-adic L-functions of
modular forms.
Notes of an Arizona Winter School by the lecturer: http://swc.math.arizona.edu/aws/
11/2011PollackStevensNotes.pdf.
2.2
Schedule
8:00 am
Monday
Tuesday
Wednesday
Thursday
Friday
8:30 am
9:00 am
9:30 am
Registration & Coffee
9:20-9:50
10:00 am Welcome
10:30 am
11:00 am
David Loeffler
8:50-9:50
David Loeffler
8:50-9:50
David Loeffler
10:00-11:00
David Loeffler
10:00-11:00
David Loeffler
10:00-11:00
Robert Pollack
10:00-11:00
Robert Pollack
10:00-11:00
Coffee break
Coffee break
Coffee break
Coffee break
Coffee break
Paul Gunnells
Paul Gunnells
11:30-12:30
Paul Gunnells
11:30-12:30
Paul Gunnells
11:30-12:30
Paul Gunnells
11:30-12:30
Lunch
Lunch
12:30-2:00
Lunch
12:30-2:00
Lunch
12:30-2:00
Lunch
12:30-2:00
Robert Pollack
2:00-3:00
Robert Pollack
2:00-3:00
Robert Pollack
2:00-3:00
Henri Darmon
2:00-3:00
Henri Darmon
2:00-3:00
Independent
study groups
3:00-5:00
Excursion
3:00-:600
Independent
study groups
3:00-5:00
Free afternoon
11:30 am
12:00 am 11:30-12:30
12:30 am
1:00 pm 12:30-14:00
1:30 pm
2:00 pm
2:30 pm
3:00 pm
Independent
study groups
4:00 pm 3:00-5:00
3:30 pm
4:30 pm
HS 3/4
HS 3/4
HS 3/4
5:00 pm
Location: Campus Im Neuenheimer Feld, building Mathematisches Institut (INF 288). Talks
and opening will be in the lecture hall Hörsaal 2 (HS 2); coffee and welcome in the foyer of
the lecture hall.
3
3
3.1
Conference
Talks
John Cremona
Lassina Dembélé
Loı̈c Merel
Xevi Guitart
Nicolas Billerey
Sara Arias-de-Reyna
Kathrin Maurischat
Alan Lauder
Xavier Caruso
Peter Bruin
Johan Bosman
Steve Donnelly
Aurel Page
Ralf Butenuth
Ariel Martı́n Pacetti
Dan Yasaki
David Loeffler
Matthew Greenberg
Tommaso Centeleghe
Max Flander
George Schaeffer
Monday, September 5
Modular symbols over number fields
Explicit base change and congruences of Hilbert modular forms
Modular forms modulo 2 and modular curves over the real numbers
Rational points on elliptic curves over almost totally complex
quadratic extensions
Explicit Large Image Theorem for Galois Representations
attached to Modular Forms
On a conjecture of Geyer and Jarden about abelian varieties over
finitely generated fields
On Poincaré series of low weight for symplectic groups
Tuesday, September 6
Computations with classical and p-adic modular forms
An algorithm to compute lattices in semi-stable representations
Computing in Jacobians of modular curves over finite fields
Implementation presentation: computing with Galois
representations of modular forms
Hilbert modular forms in Magma and tables of modular elliptic
curves
Algorithms for arithmetic Kleinian groups
On computing quaternion quotient trees
Hecke-Sturm bound for hilbert modular surfaces
Computation of certain modular forms using Voronoi Polyhedra
(Software)
Wednesday, September 7
Unitary groups and even Galois representations
Kneser’s p-neighbour construction and Hecke operators for
definite orthogonal and unitary groups
Computing the number of certain Galois representations mod p
Bases of Modular Forms
The Hecke stability method
Thursday, September 8
Jan Hendrik Bruinier Coefficients of harmonic Maass forms
Dan Yasaki
Computation of certain modular forms using Voronoi Polyhedra
Nils-Peter Skoruppa
Computing modular forms of half integral weight
Cécile Armana
On Manin’s presentation for modular symbols over function fields
Nils-Peter Skoruppa
Computing modular forms of half integral weight (Software)
Location: the lecture hall Hörsaal 2 of the building Kirchhoff-Institut für Physik (INF 227).
4
3.2
Schedule
8:00 am
8:30 am
9:00 am
Monday
Tuesday
Wednesday
Thursday
Registration & Coffee
8:20-8:50
Welcome
John Cremona
Alan Lauder
9:00-9:50
9:00-9:50
David Loeffler
9:00-9:50
Jan Hendrik Bruinier
9:00-9:50
Lassina Dembélé
10:00-10:50
Xavier Caruso
10:00-10:50
Matthew Greenberg
10:00-10:50
Dan Yasaki
10:00-10:50
10:50-11:30
Coffee break
10:50-11:30
Coffee break
10:50-11:30
Coffee break
10:50-11:30
Loı̈c Merel
11:30-12:20
Peter Bruin
11:30-11:55
Tommaso Centeleghe Nils-Peter Skoruppa
11:30-11:55
11:30-12:20
Lunch
12:20-3:00
Johan Bosman
12:05-12:30
Lunch
12:30-3:00
Max Flander
12:05-12:30
9:30 am
10:00 am
10:30 am
11:00 am Coffee break
11:30 am
12:00 am
12:30 am
1:00 pm
George Schaeffer
12:40-1:05
Lunch
1:05-2:00
1:30 pm
2:00 pm
Lunch
12:20-3:00
Excursion
2:00-6:00
2:30 pm
3:00 pm
Boat trip to Neckarsteinach
Xevi Guitart
3:00-3:25
Steve Donnelly
3:00-3:25
Nicolas Billerey
3:35-4:00
Coffee break
4:00-4:30
Aurel Page
3:35-4:00
Coffee break
4:00-4:30
Sara Arias-de-Reyna
4:30-4:55
Ralf Butenuth
4:30-4:55
Kathrin Maurischat
5:05-5:30
Ariel Martı̀n Pacetti
5:05-5:30
Meeting points:
INF 227 at 2 pm to
walk to the terminal
together, and
the terminal at 2:45
pm.
3:30 pm
4:00 pm
4:30 pm
5:00 pm
5:30 pm
6:00 pm
Cécile Armana
3:00-3:25
Nils-Peter Skoruppa
3:35-3:55
Coffee break
3:55-4:30
Dan Yasaki
5:40-6:00
The conference dinner is at the restaurant Backmulde, Schiffgasse 11, at 7:30 pm on Tuesday.
5
3.3
Abstracts
Jan Hendrik Bruinier - Coefficients of harmonic Maass forms
The coefficients of half integral weight modular forms are often generating functions of interesting arithmetic functions, such as for instance representation numbers of quadratic forms, class
numbers, or central values of integral weight Hecke L-functions. In our talk we consider the
coefficients of half integral weight harmonic Maass forms. We show that their coefficients are
related to periods of differentials of the third kind on modular and elliptic curves. We present
some computational results on the coefficients obtained jointly with Fredrik Stroemberg, and
discuss possible refinements of the relationship to periods.
Xavier Caruso - An algorithm to compute lattices in semi-stable representations
Let K be a finite extension of Qp and GK denote the absolute Galois group of K. In this talk,
I will present a polynomial time algorithm to compute a lattice in a semi-stable representation
of GK given by its filtered (φ, N )-module. Since p-adic representations attached to classical
or overconvergent modular forms are often semi-stable (and, actually, even crystalline), this
algorithm applies to such representations and will hopefully, in the next future, help us to
understand better the behaviour of the semi-simplification modulo p of these representations.
The latter question was studied by many people (Breuil, Berger, Buzzard, Gee...) but still
remains very mysterious. It is a common work with David Lubicz.
John Cremona - Modular symbols over number fields
Modular symbols were introduced by Birch and developed systematically by several people,
notably Manin and Merel. As well as giving useful theoretical insights into various objects
of interest in arithmetic geometry, such as elliptic curves defined over Q, they are also an
invaluable computational tool: for example, the database of all 1.16 million elliptic curves
over Q with conductor less than 180000 was computed using modular symbols. It is less
well-known that modular symbols may also be defined and used over number fields other
than Q; for example, over imaginary quadratic fields so-called Bianchi Modular Forms may
be computed using them.
In this talk I will focus on algebraic properties of modular symbols and the closely related
Manin symbols which may be formulated and proved over quite general number fields, using
standard algebraic theory of modules over Dedekind Domains. As an application I will exhibit
a formula for the number of cusps for Γ0 (N ) where N is an abitrary integral ideal of a number
field, which generalises the classical formula and give algorithms for testing equivalence of
cusps in this general setting.
This is joint work with Maite Aranes.
Lassina Dembélé - Explicit base change and congruences of Hilbert modular forms
Let F be a totally real number field (of even degree). Let E be a subfield of F over which F is
Galois. Let n be an integral ideal of F which is stable under Gal(F/E) and k a positive integer.
Let Sk (n) be the space of Hilbert modular forms of level n and weight k. We will present an
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algorithm for computing the Hecke submodule of Sk (n) which comes from base change. We also
present an algorithm for computing the congruence module of a Hecke submodule M ⊂ Sk (n).
We will then use this to investigate a conjecture of Hida on congruences between base change
and non-base change Hilbert modular forms.
Matthew Greenberg - Kneser’s p-neighbour construction and Hecke operators for
definite orthogonal and unitary groups
In 1957, Kneser introduced the p-neighbour relation on lattices: Lattices L and M are pneighbours if the elementary divisors of each with respect to the other are p−1 , 1, . . . , 1, p. The
construction of the p-neighbours of a lattice is completely explicit and can be used to construct
representatives for isomorphism classes of lattices in a given genus. In this talk, we relate the
Kneser’s p-neighbour construction to Hecke operators acting on spaces of automorphic forms
for definite orthogonal groups over totally real fields and for definite unitary groups with
respect to a CM extension. I’ll focus on algorithmic aspects and present examples of our
computations. This is a joint project with John Voight.
Alan Lauder - Computations with classical and p-adic modular forms
We present p-adic algorithms for computing Hecke polynomials and Hecke eigenforms associated to spaces of classical modular forms using the theory of overconvergent modular forms.
The algorithms have a running time which grows linearly with the logarithm of the weight and
are well suited to investigating the dimension variation of certain p-adically defined spaces of
classical modular forms.
For the paper and related SAGE code see www.maths.ox.ac.uk/~lauder.
David Loeffler - Unitary groups and even Galois representations
I will briefly describe an algorithm for computing the Hecke eigenvalues of automorphic forms
for definite unitary groups, which is discussed in more detail in my lectures in the accompanying
summer school. I will then describe a method due to Frank Calegari which uses this algorithm
to study 2-dimensional even mod p Galois representations, leading to a proof (modulo certain
conjectures) that no such representations exist for small weights and levels.
Loı̈c Merel - Modular forms modulo 2 and modular curves over the real numbers
Let f be a modular newform. Let p be a prime number. Consider the representation ρ :
Gal(Q/Q) → GL2 (Fp ) attached by Deligne to f and p, and which occurs in Serre’s conjecture.
It is odd, in the sense that the image c by ρ of any complex conjugation has determinant −1.
When p = 2, there is no distinction between odd and even representations. However, there is
still an alternative: (1) c is the identity or (2) c is a (necessarily unipotent) element of order
2 of GL2 (F2 ). In other words, the field extension of Q cut out by ρ is (1) real or (2) not real.
G. Wiese has asked for a method for discerning which case holds using as input only the
form f . There is a simple answer to this question. It is based on the Hecke action on modular
symbols. We will see that, in a certain sense, the case (2) is more generic. Most of our work
7
will consist in determining the group of components of the jacobians of modular curves over
the real numbers. We will see that this group is small and, in any case, it is ”Eisenstein”.
Nils Skoruppa - Computing modular forms of half integral weight
Dan Yasaki - Computation of certain modular forms using Voronoi Polyhedra
The cohomology of arithmetic groups is built from certain automorphic forms, allowing for
explicit computation of Hecke eigenvalues using topological techniques in certain cases. For
modular forms attached to the general linear group over a number field F of class number
one, these cohomological forms can be described in terms an associated Voronoi polyhedron
coming from the study of perfect n-ary forms over F . In this talk we describe this relationship
and give several examples of these computations resulting from joint work with P. Gunnells
and F. Hajir.
Sara Arias-de-Reyna - On a conjecture of Geyer and Jarden about abelian varieties
over finitely generated fields
Let A be an abelian variety defined over a finitely generated field K. Around 1978 W-D. Geyer
and M. Jarden proposed a conjecture concerning the torsion points of A that are defined over
certain infinite algebraic extensions of K. In this talk we will show that this conjecture holds
when A has big monodromy. This is a joint work with W. Gajda and S. Petersen
Cécile Armana - On Manin’s presentation for modular symbols over function fields
Modular symbols for a congruence subgroup of GL2 (Fq [T ]), as introduced by Teitelbaum,
have a finite presentation similar to Manin’s for classical modular symbols. We will report
on rather general cases where this presentation can be solved explicitly. The proof does not
require to know a fundamental domain for the subgroup. We will also present applications
to L-functions of certain automorphic cusp forms for GL2 (Fq (T )) and to Hecke operators on
Drinfeld modular forms.
Nicolas Billerey - Explicit Large Image Theorem for Galois Representations attached to Modular Forms
In this talk we shall give an explicit version of a large image theorem of Ribet for residual
Galois representations attached to classical modular forms (work in progress, joint with Luis
Dieulefait).
Johan Bosman - Implementation presentation: computing with Galois representations of modular forms
If f is a newform in Sk (Γ1 (N )) and λ is a prime of its coefficient field, then there is a modλ Galois representation ρ associated with f . Assuming it is irreducible, this representation
can be defined by means of the action of the absolute Galois group on a certain space of
torsion points of a modular Jacobian. We will use SAGE to compute ρ in various cases. The
computations rely on numerical approximations of the torsion points mentioned: either over
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the complex numbers or modulo small primes. We will give real-time computations using the
former approach and, if time permits, we will also shed light on the latter approach.
Peter Bruin - Computing in Jacobians of modular curves over finite fields
We describe a collection of algorithms for computing with projective curves over finite fields
and their Jacobian varieties. We make use of a certain representation of such curves, due
to K. Khuri-Makdisi, which is easy to compute for modular curves. As an application, we
explain how to find (efficiently, at least in theory) an explicit representation for the l-torsion
subscheme of the Jacobian of the modular curve X1 (n) over the rational numbers. This is of
interest for computing Galois representations attached to eigenforms over finite fields.
Ralf Butenuth - On computing quaternion quotient trees
Let K be the rational function field in T over a finite field of q elements. Let Γ be the group
of units of a maximal order in a division quaternion algebra D over K which is split at the
place ∞ = 1/T . Let K∞ denote the completion of K at ∞. Then Γ acts cocompactly on
the Bruhat-Tits tree associated to PGL2 (K∞ ). We present an algorithm for computing a
fundamental domain for the action of Γ on this tree. This also yields an explicit presentation
of Γ. As a Corollary we obtain an upper bound for the size of the generators and their number.
Tommaso Centeleghe - Computing the number of certain Galois representations
mod p
We report on a computational project aimed to find, for a given prime p ≤ 2593, the number
of isomorphism classes of irreducible, two dimensional, odd, mod p, Galois representations of
Q, which are unramified outside p. Serre’s Conjecture reduces the above problem to that of
counting the number of Hecke eigensystems arising from mod p modular forms of level one.
We explain how we succeeded in doing this by only using small index Hecke operators Tn .
Steve Donnelly - Hilbert modular forms in Magma and tables of modular elliptic
curves
This will be a very brief overview of what one can expect from Magma’s Hilbert modular
forms (particularily in the forthcoming version of Magma). I’ll also say something about the
techniques used to search for elliptic curves that match Hilbert newforms.
Max Flander - Bases of Modular Forms
The Victor Miller basis is an echelonised basis of q-expansions with integer coefficients for the
space of level 1 modular forms, produced by multiplying powers of the Eisenstein series of
weight 4 and 6, and the unique cusp form of weight 12. We describe a similar procedure for
computing bases of higher level. and then briefly mention a motivation for these calculations,
namely the study of the Newton-slopes of the Hecke operator Up .
9
Xevi Guitart - Rational points on elliptic curves over almost totally complex
quadratic extensions
Let F be a totally real field containing a field F0 with [F : F0 ] = 2. Let E/F be a modular
elliptic curve which is F -isogenous to its Galois conjugate over F0 , and let M/F be an almost
totally complex quadratic extension. In this talk we will discuss a conjectural construction
of points on E rational over M , which builds on a natural extension of Darmon’s theory of
points over almost totally real fields. These points are defined by means of suitable integrals
of the Hilbert modular form over F0 attached to E by the Shimuara-Taniyama conjecture,
which makes the construction amenable for explicit computations and verifications.
Kathrin Maurischat - On Poincaré series of low weight for symplectic groups
For the symplectic groups of genus m we study Poincaré series of exponential type of weight
m + 1, which are of arithmetic interest. Using representation theoretic techniques we continue
them analytically to the interesting point for m = 2. This continuation involves concrete
extensive calculations for Casimir operators. This is manageable by hand only for m ≤ 2.
We present the main ideas of these calculations for m = 2 and give some hints for what is
requested for higher genus m to get analog results.
Ariel Martı́n Pacetti - Hecke-Sturm bound for hilbert modular surfaces
Consider the following problem studied by Hecke: given two modular forms f and g of the
same level and weight, is there an explicit bound N such that if the first N Fourier coefficients
of the two forms are the same, then the two forms are equal? Furthermore, Sturm considered
the same question modulo a prime ideal, i.e. assume that the Fourier expansion of both forms
lie in the ring of integers of a number field, and let p be a prime ideal of such ring; is there
an explicit constant N such that if the first N Fourier coefficients of both expansions are
congruent modulo p then all of them are congruent?
We will give an algebraic proof of both results and show how to generalize it to Hilbert
modular forms over real quadratic fields.
Aurel Page - Algorithms for arithmetic Kleinian groups
Arithmetic Kleinian groups are arithmetic lattices in PSL2 (C). They lie on the boundary
between number theory and hyperbolic geometry : by Jacquet-Langlands correspondence,
their cohomology is closely related to automorphic forms for GL2 over some number fields, and
they act discretely with finite covolume on the hyperbolic 3-space. We present an algorithm
which computes a fundamental domain and a presentation for such a group, preparing the
ground for calculating associated automorphic forms. It is a master’s thesis work supervised
by John Voight.
George Schaeffer - The Hecke stability method
I will present a method for producing all weight 1 mod p cusp forms of a given level and
character which do not lift to classical weight 1 forms over C.
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4
Practical Information
4.1
Public transport
Summer school and conference are both located on the campus Im Neuenheimer Feld (INF)
of the Universität Heidelberg. The closest tram/bus stop is Bunsengymnasium (Tram 21, 24
and Bus 32 from Main Station Heidelberg). Please note that the bus stop Universitätsplatz is
at the downtown campus of the university and far away from Im Neuenheimer Feld.
Heidelberg itself is relatively small with a large pedestrian-only zone and plentiful public
transport. It is easy to get around by walking and/or taking public transport. To walk from
the campus Im Neuenheimer Feld along the Neckar river towards the Altstadt (Old Town) of
Heidelberg takes less than 30 minutes.
Old Town Heidelberg begins east of the station Bismarckplatz with Hauptstraße. Most
busses and trams go to Bismarckplatz. A single ticket costs 2,20 e for an adult, and a city
ticket between Bismarckplatz and Hauptbahnhof (Main station) only 1,10 e (cf. the attached
maps for more information on prices and connections).
4.2
Hotels
Most participants stay at one of the following hotels:
• Café Frisch, Jahnstraße 34, 69120 Heidelberg; Phone: +49 6221 45750. Station: Jahnstraße (Tram 21, 24; Bus 32, 721)
• Gästehaus der Universität, Im Neuenheimer Feld 370/371, 69120 Heidelberg; Phone:
+49 6221 54-7150/-7151. Station: Jahnstraße (Tram 21, 24)
• Hotel Ibis, Willy Brandt Platz 3, 69115 Heidelberg; Phone: +49 6221 9130. Station:
Heidelberg Hauptbahnhof (Main Station)
• Hotel Kohler, Goethestraße 2, 69115 Heidelberg; Phone: + 49 6221 970097. Station:
Poststraße (Tram 5, 21, 23, 26; Bus 33, 34, 720, 735, 752, 754 ,755; Moonliner 3)
• Hotel Leonardo, Bergheimer Straße 63, 69115 Heidelberg; Phone: +49 6221 5080. Station: Römerstraße (Tram 22; Bus 32, 35).
• Seminarzentrum der SRH, Bonhoefferstraße 12, 69123 Heidelberg; Phone: +49 6221
8811. Station: Bonhoefferstraße (Bus 34).
Please see the attached maps or ask at your hotel for further information on how to get to the
conference or the summer school.
4.3
Summer School and Conference
Both summer school and conference are located on the campus Im Neuenheimer Feld. The
lectures of the summer school are hold in the lecture hall Hörsaal 2 (HS 2) of the building
Mathematisches Institut (INF 288). The independent study groups take place in Hörsaal 3/4
(HS 3/4) of the same building in the afternoons. The talks of the conference will be in the
lecture hall Hörsaal 2 of the building Kirchhoff-Institut für Physik (INF 227).
Registration and coffee breaks will take place in the foyer of the respective lecture hall.
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4.4
Food and Drink
On weekdays, it is most convenient to have lunch on campus: either at the university canteen
Mensa, or at one of the two reasonably priced restaurants Bellini (see campus map). During
the morning coffee breaks, you can purchase a lunch coupon for the Mensa at our registration
desk for the following prices:
Without beverage
With beverage
Students
5e
6e
Non-Students
7e
8e
The coupon is valid at the buffet at “Ausgabe A” (it is not possible to pay in cash in the
Mensa). For coffee and snacks, there are also the Café Chez Pierre in the Mensa building, the
Unishop and a bakery next to Bellini (see campus map).
In Old Town Heidelberg, you will find many cafés, restaurants and bars along Hauptstraße
for the evenings and weekends. Restaurants outside Hauptstraße that we recommend are:
• Café Bellini, Im Neuenheimer Feld 371, 69120 Heidelberg (Italian cuisine, lower budget)
• Da Claudia, Brückenstraße 14, 69120 Heidelberg (Italian cuisine, lower budget)
• Dorfschänke, Lutherstraße 14, 69120 Heidelberg (local cuisine)
• Goldener Stern, Lauer Straße 16, 69117 Heidelberg (Greek cuisine)
• Kulturbrauerei, Leyergasse 6, 69117 Heidelberg (local cuisine, brewery and beer garden)
• Merlin, Bergheimer Straße 85, 69115 Heidelberg (Pasta, Schnitzel, salads; lower budget)
• Mocca, Römerstraße 24, 69115 Heidelberg (Mediterranean cuisine)
In addition, the Zeughaus-Mensa (Marstallhof 3, 69117 Heidelberg) of the Universität Heidelberg is located beautifully in Old Town. This Mensa offers extended opening hours (Mon-Sat
11:30 am-11:00 pm). There it is possible to pay in cash.
For cafés and bars, the Untere Straße is particularily well-known by Heidelberg’s students.
Furthermore, the two Marktplätze (market places) in Old Town (adjacent to Heiliggeistkirche)
and in Heidelberg-Neuenheim (next to Ladenburger Straße), provide good cafés in great atmosphere. Worth a visit are for example:
• Max Bar, Marktplatz 5, 69117 Heidelberg.
• Bar Centrale, Ladenburger Straße 17, 69120 Heidelberg.
4.5
Internet Access
Wireless internet is available on the entire campus. Connect to the unencrypted network
named ”UNI-WEBACCESS” and open any site in a web browser. You will be redirected to
a page where you have to enter the user name and password of the conference. Both will be
communicated to you at Heidelberg. Please be aware that this network is unencrypted and
should not be used to transfer sensitive data without additional precautions.
In Old Town, ”UNI-WEBACCESS” is avaibalbe near the old campus at Universitätsplatz.
Alternatively, free Wi-Fi is provided at several cafés, e.g. in Untere Straße or in Fahrtgasse
(near Bismarckplatz).
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5
Social Program
Wednesday, August 31 - Guided tour
Among the sights in Heidelberg’s Old town are the Church of the Holy Ghost, the Jesuit
district and Germany’s oldest university. Our guided tour starts at Universitätsplatz at 4
pm, and we will hear interesting facts about Heidelberg and its history. Afterwards we can
end the day together at one of the nearby local restaurants.
Saturday, September 3 - Fireworks
To remember the destruction of the castle in 1693, Heidelberg holds castle illuminations three
times every summer. This saturday is the last time in 2011. Bengal fires will drench the ruined
walls in a dazzling red light. Subsequently, brilliant fireworks take place at the Old Bridge.
We will meet at Bismarckplatz at 9 pm to go near the Neckar river to get the best view.
Sunday, September 4 - Hike
The area around Heidelberg offers many beautiful hikes with pleasant outlooks over the valley.
The Heiligenberg mountain is on the other side of the Neckar from the castle and reaches its
highest point at 440 m. The hike starts near the Philosopher’s Walk and proceeds on forest
paths to the Thingsstätte, an amphitheatre built on ancient Greek model during Third Reich
for propaganda purposes. It is possible to proceed to the 548 m high Weißer Stein. Meeting
point for this hike is the tram stop Brückenstraße at 11 am.
Tuesday, September 6 - Conference dinner
We will have the conference dinner at the restaurant Backmulde (Schiffgasse 11, http:
//www.gasthaus-backmulde.de) at 7:30 pm on Tuesday. The fee for dinner is 40 e. It
must be paid at the registration. To reach Backmulde from Bismarckplatz, take Hauptstrasse
and make a left at Schiffgasse.
Wednesday, September 7 - Boat excursion
After lunch, we proceed to the shipping terminal. From there we take a boat at 3 pm
to Neckarsteinach, a small village on the Neckar river (http://en.wikipedia.org/wiki/
Neckarsteinach). The boat trip goes through the beautiful river valley, and finally passes
the four castles of Neckarsteinach. In the village, we can walk along the footpath which leads
to the old ruins, or enjoy the local cafés and restaurants next to the river.
Meeting points are the lecture hall Kirchhoff-Institut für Physik at 2 pm and the
terminal Kongresshaus at 2:45 pm. Please sign up at the registration desk if you want to
participate.
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6
Heidelberg Sights - Top 10
1 - Schloss (Castle)
The castle is a highlight of any visit, rising majestically over the city and the river.
2 - Alte Brücke (Old Bridge)
This bridge has been an inspiration since the time of the romantic poets.
3 - Hauptstraße (Main Street)
Europe’s longest pedestrian zone has endless shopping, beautiful architecture and museums.
4 - Heiliggeistkirche (Church of the Holy Spirit)
Once home to the Bibliotheca Palatina, this Gothic structure is now Heidelberg’s main Protestant church.
5 - Kornmarkt Madonna (Grain Market Madonna)
Try to get a table on Kornmarkt with a view of the Madonna and the castle.
6 - Philosophenweg (Philosopher’s Walk)
One of Germany’s loveliest panoramic trails with outlooks over the city, river, and castle - the
Heidelberg triad.
7 - Kurpfälzisches Museum (Electoral Palatinate Museum)
In-depth chronicle of the city and the Palatinate; a must-see for history fans.
8 - Königsstuhl (King’s Seat)
Heidelberg’s highest peak is accessible by the Bergbahn (Funicular railway) and a good starting
point for hikes and offers sweeping views of the valley.
9 - Universitätsplatz (University Square)
Here you find historical buildings of Germany’s oldest university town. Worth a visit is also
the nearby Universitätsbibliothek (University Library).
10 - Explore Heidelberg by Bike
Rent a bike and go to the Tiefburg in Heidelberg-Handschuhsheim, the Palace Gardens in
Schwetzingen or along the Neckar river to Ladenburg or Neckargemünd.
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7
Participants
Alfes, Claudia (TU Darmstadt)
Anni, Samuele (Universiteit Leiden)
Arias-de-Reyna, Sara (Universität Duisburg-Essen)
Aribam, Chandrakant (Universität Heidelberg)
Armana, Cécile (Max-Planck Institut Bonn)
Balakrishnan, Jennifer (Harvard University)
Banwait, Barinder (University of Wwarwick)
Beloi, Alex (University of California, Santa Cruz)
Bengoechea, Paloma (Universit Paris 6)
Bergamaschi, Francesca (Concordia Un-Paris Sud)
Bermudez Tobon, Yamidt (Universität Heidelberg)
Billerey, Nicolas (Universität Duisburg-Essen)
Blanco, Ivan (University of Barcelona)
Bley, Werner (LMU München)
Böckle, Gebhard (Universität Heidelberg)
Bosman, Johan (University of Warwick)
Bouganis, Thanasis (Universität Heidelberg)
Bruin, Peter (Université Paris-Sud 11)
Bruinier, Jan Hendrik (TU Darmstadt)
Butenuth, Ralf (Universität Heidelberg)
Büthe, Jan (Universität Bonn)
Capuano, Laura (Scuola Normale Superiore)
Caruso, Xavier (IRMAR Université de Rennes 1)
Centeleghe, Tommaso (Universität Heidelberg)
Cerviño, Juan Marcos (Universität Heidelberg)
Cooley, Jenny (University of Warwick)
Cremona, John (Univeristy of Warwick)
Darmon, Henri (McGill University)
Dembélé, Lassina (University of Warwick)
Donnelly, Steve (University of Sydney)
Egbeje, Johnson (Achievers University Owo)
von Essen, Flemming (University of Copenhagen)
Flander, Max (University of Melbourne)
Forster, Petra (Karlsruhe Institute of Technology)
Gehrmann, Lennart (Universität Bielefeld)
Giraud, David (Universität Heidelberg)
Gon, Yasuro (Kyushu University)
Greenberg, Matt (University of Calgary)
Guitart, Xevi (Universitat Politècnica de Catalunya)
Gunnells, Paul (University of Massachusetts)
Henn, Andreas (RWTH Aachen)
Hoang Duc, Auguste (IRMA Universié de Strasbourg)
Hofmann, Eric (Universität Heidelberg)
Holschbach, Armin (Universität Heidelberg)
Inam, Ilker (Uldudag University)
Iqbal, Sohail (University of Warwick)
Juschka, Ann-Kristin (Universität Heidelberg)
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Kazalicki, Matija (University of Zagreb)
Kim, Chan-Ho (Boston University)
Kionke, Steffen (Universität Wien)
Krawciow, Karolina (University of Szczecin)
Kühne, Lars (ETH Zürich)
Lauder, Alan (Oxford University)
Linowitz, Benjamin (Dartmouth College)
Loeffler, David (University of Warwick)
Matzat, Heinrich (Universität Heidelberg)
Maurischat, Andreas (Universität Heidelberg)
Maurischat, Kathrin (Universität Heidelberg)
M’Barak, Saber (Universität Siegen)
Merel, Loı̈c (Université Paris-Diderot)
Mohamed, Adam (Universität Duisburg-Essen)
Monheim, Frank (University of Tübingen)
Müller, Jan Steffen (Universität Hamburg)
Muller, Alain (University of Strasbourg)
Naskrecki, Bartosz (Adam Mickiewicz University)
Nuccio, Filippo A. E. (INDAM-University of Milan)
Owen, Mitchell (University of California, Santa Cruz)
Pacetti, Ariel Martı́n (Universidad Buenos Aires)
Page, Aurel (Université Bordeaux 1)
Pal, Aprameyo (Universität Heidelberg)
Pollack, Robert (Boston University)
Purkait, Soma (University of Warwick)
Qiu, Yujia (Universität Heidelberg)
Remon, Dionis (Universitat de Barcelona)
Ren, Lindsay (Boston University)
Restrepo, Juan Ignacio (McGill University)
Rüth, Julian (Leibniz Universität Hannover)
Salami, Sajad (Urmia University)
Schaeffer, George (University of California, Berkeley)
Scharlau, Rudolf (Universität Dortmund)
Schimpf, Susanne (Universität Wien)
Shavgulidze, Ketevan (Tbilisi State University)
Skoruppa, Nils (Universität Siegen)
Stix, Jakob (Universität Heidelberg)
Tsaknias, Panagiotis (Universität Duisburg-Essen)
Tsukazaki, Kiminori (University of Warwick)
Venjakob, Otmar (Universität Heidelberg)
Verhoek, Hendrik (Universita’ di Roma)
Voight, John (University of Vermont)
Vonk, Jan (Oxford University)
de Vreugd, Cees (Universiteit van Amsterdam)
Wang, Haining (Penn State University)
Weigl, Sandra (Universität München)
Wiese, Gabor (Université du Luxembourg)
Yasaki, Dan (University of North Carolina at Greensboro)
Zhao, Jingwei (Karlsruhe Institute of Technology)
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8
Notes
17
(A)
(B)
(C)
(D)
(E)
Stop Bunsengymnasium: Tram 21, 24 or Bus 32 (from Main Station Heidelberg)
Summer School: Hörsaal 2 (HS 2), Mathematisches Institut (INF 288)
Conference: Hörsaal 2, Kirchhoff-Institut für Physik (INF 227)
Mensa, Café Chez Pierre (INF 288)
Gästehaus, Bellini (INF 371)
(A)
(E)
(D)
Universität Heidelberg - Campus Im Neuenheimer Feld (INF)
(C)
(B)