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# Seminar Aachen-Köln-Lille-Siegen on Automorphic Forms

In the summer 2003 we, i.e. Jan Bruinier from Köln, Valery Gritsenko from Lille, Aloys Krieg from Aachen and Nils Skoruppa, agreed to start a joint seminar, which should take place four times each year hosted alternately by our home universities, respectively. The original aim was to broaden the platform for our students doing research with us in the field of automorphic forms.

Since then we organized many of these one afternoon workshops with increasing success. Moreover, our seminar gained recognition outside our four universities and usually during our meetings you have the possibility to meet researchers from several other German or French universities or from the Max-Planck institute for Mathematics at Bonn. Accordingly, this seminar is now a platform not only for our students, but, as one may recognize from the names of the speakers, for all researches from the Benelux countries, from Switzerland and Germany and sometimes from outside Europe. The list of all speakers so far, including the posters of the meetings and many snapshots, can be found below.

 Pieter MoreeMPI Bonn The second order behaviour of sums of multiplicative functions Fabien ClÃ©rySiegen Siegel modular forms of genus 2 and level 2 Seyfi TürkelliWestern Illinois/MPI Lower bounds for the cohomology of Bianchi groups

 A. RaghuramIISER Pune, MPI Bonn The Langlands Program and Special Values of L-functions R. HillUC London Construction of metaplectic groups M. MertensKöln Mock Modular Forms and Class Number Relations

 D. Gehre, A. HennAachen Quaternionic Modular Forms with respect to ℚ(-3,-1) K. MaurischatHeidelberg On Meromophic Continuation of Poincaré Series for Low Weight in Genus Two R. OlivettoKöln Fourier coefficients of meromorphic Jacobi forms

 V. GritsenkoLille Exceptional Arnold singularities and their automorphic discriminants P. VanhoveIHES Automorphic representations of small nilpotent orbits and BPS states P. SoléParistech The secrecy gain of unimodular even lattices

 Matthias GaberdielZÃ¼rich Mathieu Moonshine Lassina DembÃ©lÃ©Warwick/MPI Some examples of abelian surfaces with everywhere good reduction Anantharam RaghuramOklahoma/MPI Arithmetic properties of automorphic L-functions

 Nikolaos DiamantisNottingham Multiple Dirichlet series and second order automorphic forms JÃ¶rg JahnelSiegen K3 Surfaces and their Picard ranks Kathrin BringmannKÃ¶ln Kac-Wakimoto characters and almost holomorphic modular forms

 Fabien CleryUniversity of Amsterdam Vector-valued Picard modular forms Mladen DimitrovUniversity of Lille Modular symbols and p-adic L-functions for GL(2) over totally real fields Nils SkoruppaSiegen An arithmetic theory of Jacobi forms over number fields

 Christine BachocBordeaux Lower bounds for the measurable chromatic number of Euclidean space Valentin BlomerGÃ¶ttingen Counting rational points on a cubic surface Jan BruinierDarmstadt On the converse theorem for Borcherds products

 M. MÃ¶llerFrankfurt Kobayashi geodesics and their modular forms N. ScheithauerDarmstadt Some constructions of modular forms for the Weil representation and applications R. Schulze-PillotSaarbrÃ¼cken Petersson norms of Yoshida liftings and congruences

 Adrian DiaconuDurham Trace Formulas, character sums, and multiple Dirichlet series Masha VlasenkoBonn Nahm's equations and modular forms Sander ZwegersKÃ¶ln Some indefinite theta functions

 Hisa-aki KawamuraGrenoble/Hokkaido On some constructions of p-adic families of Siegel modular forms Pierre VanhoveIHES Automorphic properties of string theory amplitudes in various dimensions Jean-Claude BelfioreParis Analysis of Lattice Coding for the Wiretap Channel with Gaussian noise

 Jens FunkeDurham Spectacle cycles and half integral weight modular forms Nils SkoruppaSiegen Jacobi forms of singular and critical weight and lattice Index on the full modular group Hiroki AokiTokyo On the Jacobi triple product identity and Borcherds products

 05.05.2010 Köln
 Don ZagierMPI Bonn Teichmüller curves and their modular forms Winfried KohnenHeidelberg Generalized modular functions and their characters Martin RaumMPI Bonn A computational approach to the Boecherer conjecture

 03.03.2010 Aachen
 Jonas BergströmAmsterdam/MPI Bonn Moduli of abelian varieties and congruences between Siegel modular forms Siegfried BöchererMannheim Witt operators of squarefree level and small weights Eberhard FreitagHeidelberg Some Siegel Calabi-Yau-3-manifolds

 09.12.2009 Lille
 Gregory SankaranBath Commutators in orthogonal groups Michael HarrisParis 7 On the Sato-Tate Conjecture Sameer MurthyParis 6 Quantum black holes and mock modular forms

 30.09.2009 Siegen
 Fredrik StrömbergDarmstadt On computational aspects of vector-valued modular forms for the Weil representation Ben KaneKöln Equidistribution of Heegner Points and Quadratic Forms Ulf KühnHamburg Scattering constants and Neron-Tate heights

 17.04.2009 Utrecht
 Matthias SchuettCopenhagen K3 surfaces and modular forms Gerard van der GeerAmsterdam Siegel modular forms of low genera Don ZagierParis On a U(3,1)-automorphic form of Ferapontov-Odesskii

 28.01.2009 Aachen
 Olav RichterDenton,Aachen Jacobi forms over complex quadratic fields via the cubic Casimir operator Lynne WallingBristol Half-integral weight Siegel modular forms, Hecke Operators and theta series Jan Hendrik BruinierDarmstadt Faltings heights of CM cycles and derivatives of L-functions

 12.11.2008 Lille
 Kenji IoharaLyon The Appell elliptic function and Lie superalgebras Benoit GrandpierreLille A new construction of the Igusa form of weight 35 and other reflective modular forms associated to the Borcherds function $\Phi_12$ Atish DabholkarParis 6 Siegel Forms and Black Holes

 18.06.2008 Siegen
 Nils-Peter SkoruppaSiegen On the computation of modular forms of half integral weight Hiroki AokiTokyo/Siegen On vector valued Siegel modular forms Aloys KriegAachen Fixpunkte von Möbiustransformationen über den Quaternionen

 23.04.2008 Bonn
 Valery GritsenkoLille/MPI Bonn Quasi pull-back of the Borcherds function $\Phi_12$ and the Zagier L-function $L(s, \Delta)$ Viacheslav SpiridonovLTPh/Dubna/MPI Bonn Elliptic gamma functions and elliptic hypergeometric integrals Kathrin BringmannMinneapolis/MPI Bonn Asymptotic and exact formulas for weak Maass forms

 12.03.2008 Aachen
 Soeren KraussharLeuven k-hypermonogenic automorphic forms and their relation to Maass wave forms Jan BruinierDarmstadt Heegner divisors, L-functions and harmonic weak Maass forms Jonathan HankeDuke/MPI Bonn Finiteness Theorem and Representing Integers by Quadratic Forms

 21.11.2007 Lille
 Valery GritsenkoLille On an automorphic problem of K.Saito Michael HarrisParis VII On the Sato-Tate conjecture Boris VenkovSt.Petersburg/Aachen Perfect lattices and spherical designs

 06.06.2007 Siegen
 Gabriele NebeAachen Codes and invariant theory Najib Ouled AzaiezMax-Planck Bonn The algebra of restrictions of Hilbert modular forms Yasuo OhnoOsaka, Max-Planck Bonn On relations among non-strict multiple zeta values

 04.04.2007 Aachen
 Nicole RaulfLille Fundamental discriminants and the asymptotics of the corresponding class numbers Kilian KilgerHeidelberg Periods of cusp forms for \Gamma_0(2) and an application Fredrik StrÃ¶mbergClausthal Hecke operators and Maass wave forms on PSL(2,Z) with integer weight and non-trivial multiplier system

 17.01.2007 Köln
 Bas EdixhovenLeiden On the computation of coefficients of modular forms Gabor WieseRegensburg Inverse Galois theory via modular representations Bernhard HeimMPI Bonn Ramanujan type congruences and Jacobi forms

 15.11.2006 Lille
 Renaud CoulangeonBordeaux Minima of Epstein zeta functions and spherical designs. Gerard van der GeerAmsterdam Siegel modular forms of degree 2 and Harder's conjecture. Don ZagierParis Various realizations and applications of the principal series for SL(2,R)

 31.05.2006 Köln
 Siegfried BÃ¶chererMannheim Siegel modular forms modulo p Sebastian MayerAachen Hilbert modular forms for Q(\sqrt{5}), Q(\sqrt{13}), and Q(\sqrt{17}) Eberhard FreitagHeidelberg Point configurations and modular forms

 26.04.2006 Aachen
 B. RamakrishnanHRI Allahabad, IHES Paris On a conjecture of Zagier Nils ScheithauerHeidelberg The Weil representation of SL(2,Z) and some applications Rainer Schulze-PillotSaarbruecken Jacquet's conjecture and invariant linear forms

 08.02.2006 Siegen
 Yumiko HironakaTokyo, Mannheim Linear Independence of Local Densities Shabnam KadirOxford, Hannover Arithmetic Mirror Symmetry and Siegel Modular Forms Valery GritsenkoLille Thetablocks I: Application to Siegel Modular Varieties Nils-Peter SkoruppaSiegen Thetablocks II: Building Jacobi Forms from Quarks

 09.11.2005 Lille
 Alexei PantchichkineGrenoble Triple products of Coleman's families (a joint work with S.Boecherer) Ingo KloeckerAachen Modular Forms for the Orthogonal Group O(2,5) Valery GritsenkoLille Kodaira dimension of the moduli spaces of K3 surfaces, the automorphic aspects

 29.06.2005 Aachen
 Audrey TerrasUC San Diego What are zeta functions of graphs and what are they good for? William DukeUC Los Angeles Asymptotics of traces of j-values Harold StarkUC San Diego Class-Numbers of CM Fields

 08.06.2005 Köln
 JÃ¼rg KramerHU Berlin Sup-norm bounds of automorphic forms Tobias MÃ¼hlenbruchClausthal Hecke operators for period functions Ulf KÃ¼hnHU Berlin On the arithmetic geometry associated with Hecke's Eisenstein series of weight 2

 13.04.2005 Aachen
 Nicole RaulfMPI Bonn Hecke operators and quadratic forms Rolf BerndtHamburg Representations of the Jacobi group and Marsden Weinstein reduction Nils ScheithauerHeidelberg On the classification of automorphic products and generalized Kac-Moody algebras

 12.01.2005 Siegen
 Tomoyoshi IbukiyamaOsaka Conjecture of a Shimura correspondence for Siegel Modular Forms of Degree Two Arnaud JehanneBordeaux/Siegen Modular forms of weight 1 Winfried KohnenHeidelberg On the number of representations of an integer as a sum of an even number of squares

 08.12.2004 Lille
 Gabriele NebeAachen Explicit actions of Hecke operators on certain genera of lattices Aloys KriegAachen Theta Series over the Hurwitz Quaternions Don ZagierParis Modular forms, Mock modular forms and dilogarithms

 14.07.2004 KÃ¶ln
 Eberhard FreitagHeidelberg Modular varieties of low dimension Winfried KohnenHeidelberg Estimating Fourier coefficients of Siegel modular forms Jens FunkeLas Cruces Cycles with local coefficients and vector valued Siegel modular forms

 12.05.2004 Lille
 Aloys KriegAachen The Graded Ring of Hermitian Modular Forms of Degree 2 over Q(\sqrt{-2}) Julien PuydtGrenoble Special values of the L-functions of modular forms Nils-Peter SkoruppaSiegen Computing elliptic modular forms - a howto, possible projects and perspectives

 21.01.2004 Siegen
 Shuichi HayashidaOsaka Siegel modular forms of half integral weight and skew holomorphic Jacobi forms Winfried KohnenHeidelberg Maass-space in higher genus Kathrin BringmannHeidelberg AbschÃ¤tzung von Fourier-Koeffizienten Siegelscher Spitzenformen

 19.11.2003 Aachen
 Jan BruinierCologne On two geometric theta lifts SÃ¶ren KraushaarGent Monogenic automorphic forms for principal congruence subgroups of the hypercomplex modular group Ã–zlem ImamogluZÃ¼rich, Santa Barbara Lattice points and Dirichlet series