Universität Bonn

Workshop on the Serre conjecture


February 4 - February 8, 2013

HIM Lecture Hall, Poppelsdorfer Allee 45

Organizers: 

Luis V. Dieulefait and Jean-Pierre Wintenberger

Description: This workshop is part of the Session on the Serre conjecture. 


Schedule

Monday, February 4

10:00 - 11:00 Fred Diamond (London King's college): Explicit Serre weights for two-dimensional Galois representations
11:00 - 11:30 Coffee break
11:30 - 12:30 Denis Benois (Université Bordeaux 1): Trivial zeros of p-adic L-functions and Iwasawa theory
12:30 - 14:30 Lunch break
14:30 - 15:30 Tommaso Centeleghe (Universität Heidelberg): Computing the number of certain mod p Galois representation
15:30 - 16:00 Tea and cake
16:00 - 17:00 Wojciech Gajda (UAM Poznań): Abelian varieties and l-adic representations

Tuesday, February 5

10:00 - 11:00 Tobias Berger (University of Sheffield): Eisenstein congruences and modularity of Galois representations
11:00 - 11:30 Coffee break
11:30 - 12:30 Christophe Breuil (Université de Paris-Sud): Ordinary representations of GLn(Qp) and fundamental algebraic representations I
12:30 - 14:30 Lunch break
14:30 - 15:30 Jeanine Van Order (EPFL Lausanne): Critical values of GL2 Rankin-Selberg L-functions
15:30 - 16:00 Tea and cake
16:00 - 17:00 Luis Dieulefait (Universitat de Barcelona): Some new cases of Langlands functoriality solved

Wednesday, February 6

10:00 - 11:00 Aftab Pande (Cidade Universitária Ilha do Fundao): Deformations of Galois Representations and the Theorems of Sato-Tate, Lang-Trotter and others
11:00 - 11:30 Coffee break
11:30 - 12:30 Florian Herzig (University of Toronto): Ordinary representations of GLn(Qp) and fundamental algebraic representations II
12:30 - 14:30 Lunch break
14:30 - 15:30 Mehmet Sengun (University of Warwick): Mod p Cohomology of Bianchi Groups and Mod p Galois Representations
15:30 - 16:00 Tea and cake
16:00 - 17:00 Jack Thorne (Harvard University): Symmetric power functoriality for GL(2)

Thursday, February 7

10:00 - 11:00 Dinakar Ramakrishnan (California Institute of Technology): Picard modular surfaces, residual Albanese quotients, and rational points
11:00 - 11:30 Coffee break
11:30 - 12:30 Jacques Tilouine (Université Paris 13): Image of Galois and congruence ideals, a program joint work with H. Hida

Friday, February 8

10:00 - 11:00 David Geraghty (IAS Princeton): Modularity lifting beyond the "numerical coincidence" of the Taylor-Wiles method
11:00 - 11:30 Coffee break
11:30 - 12:30 Florian Pop (University of Pennsylvania): Faithful representations of absolute Galois groups

Participants

Person
Affiliation
Period of stay
Rajender Adibhatla Universität Regensburg
Shabnam Akhtari University of Oregon
Paloma Bengoechea Collège de France
Denis Benois Université Bordeaux 1
Tobias T. Berger University of Sheffield
Marco Boggi University of Los Andes
Christophe Breuil Université Paris-Sud
Tommaso Centeleghe Universität Heidelberg
Huan Chen Ecole normale superieure ENS
Narasimha Kumar Cheraku Universität Heidelberg
Przemyslaw Chojecki Institut Mathématique de Jussieu
Laurent Clozel Université de Paris Sud 11
Fred Diamond King's College London
Luis V. Dieulefait Universitat de Barcelona
Gerhard Faltings Max-Planck-Institut für Mathematik
Nuno Freitas Universitat de Barcelona
Wojciech Jerzy Gajda The Adam Mickiewicz University
David Geraghty Institute for Advanced Study
Shuvra Gupta University of Iowa
Shai Haran Technion - Israel Institute of Technology
Florian Herzig University of Toronto
Mikhail Ivanov Saint-Petersburg State University
Boris Kunyavskii Bar-Ilan University
Leonid V. Kuzmin National Research Center Kurchatov Institute
Kai-Wen Lan University of Minnesota
Dmitry Logachev Universidad Simon Bolivar
Yuri I. Manin Universität Bonn
Boris Moroz Universität Bonn
Tuan Ngo Dac Université de Paris 13
Aftab Pande Cidade Universitária Ilha do Fundao
Florian Pop University of Pennsylvania
Dinakar Ramakrishnan Caltech
Giovanni Rosso Université Paris 13
Mehmet Haluk Sengun University of Warwick
Evgeny Shinder Max-Planck-Institut für Mathematik
Aleksander Leonidovich Smirnov Steklov Institute of Mathematics
Jack Thorne Harvard University
Jacques Tilouine Université Paris 13
Jeanine Marie Van Order The Hebrew University of Jerusalem
Sergei Vostokov University of St.Petersburg
Yosuhiro Wakabayashi Kyoto University
Jean-Pierre Wintenberger Université Strasbourg
Adrián Zenteno Universidad Nacional Autónoma de México
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