May 30, 2024
January-June 2012 (Winter/Spring
Thematic Program on Galois Representations

March 19-23, 2012
Workshop on Cohomology of Shimura varieties: Arithmetic Aspects and the Construction of Galois representations

Organizers: Laurent Clozel (Paris 11), Matthew Emerton (U Chicago),
David Geraghty (Princeton and IAS), Sug Woo Shin (MIT)

Supported by the National Science Foundation
Award #1101503

The workshop will have several goals, including: describing the latest results on the cohomology of Shimura varieties;explaining the key ideas and techniques which underly these results; analyzing the applications of these results to the construction of Galois representations attached to automorphic forms, with the goal of describing the state of the art in this problem.

Workshop Schedule (abstracts)

Monday, March 19
9:00 - 9:30 Coffee and Registration
9:30 - 10:30 M. Emerton (Unversity of Chicago)
Shimura varieties and Galois representations: an overview
10:30 - 11:00 Break
11:00 - 12:00 L. Fargues (Université de Strasbourg )
The cohomology of the basic locus of Shimura varieties
12:00 - 2:00 Lunch
2:00 - 3:00

E. Mantovan (California Institute of Technology)
The Reduction mod p of Shimura varieties

3:00 - 3:30 Break
3:30 - 4:30 S. Morel (Harvard University)
Cohomology of non-compact Shimura varieties
Tuesday, March 20
9:00 - 9:30 Coffee
9:30 - 10:30 S.W. Shin (Massachusetts Institute of Technology)
Construction of Galois representations
10:30 - 11:00 Break
11:00 - 12:00 P. Scholze (Universität Bonn)
A new approach to the local Langlands correspondence for GL(n) over p-adic fields
12:00 - 2:00 Lunch
2:00 - 3:00

E. Viehmann (Universität Bonn)
Newton strata and EO-strata in PEL Shimura varieties

3:00 - 3:30 Break
3:30 - 4:30 M. Kisin (Harvard University)
Integral models for Shimura varieties of abelian type
Wednesday, March 21
9:00 A. Caraiani (Harvard University)
Weight spectral sequences and monodromy
10:15 R. Taylor (Institute for Advanced Study)
Local-global compatibility at primes dividing l
11:30 W. Zhang (Columbia University)
L-values and heights on Shimura varieties
12:30 - 2:00 Lunch
2:00 - 3:00

M. Kisin (Harvard University)
Mod p points on Shimura varieties of abelian type

3:00 - 3:30 Break
3:30 - 4:30 P. Scholze (Universität Bonn)
On the cohomology of compact unitary group Shimura varieties at ramified split places
Thursday, March 22
9:00 A. Iovita, (Concordia University)
Overconvergent modular sheaves and p-adic families of Hilbert modular forms
10:15 V. Pilloni (École Normale Supérieure de Lyon)
Classicity in weight (1,1,...1) and modularity
11:30 R. Taylor (Institute of Advanced Study)
Galois representations for regular algebraic cusp forms over CM-fields
12:00 - 2:00 Lunch
2:00 - 3:00

S. Kudla (University of Toronto)
Generating series for arithmetic cycles on Shimura varieties

3:00 - 3:30 Break
3:30 - 4:30 B. Howard (Boston College)
A conjectural extension of the Gross-Zagier theorem
Friday, March 23
9:00 K. Lan (Princeton University and IAS)
Vanishing theorems for torsion automorphic sheaves
10:15 K. Madapusi Pera (Harvard University)
Integral models for compactifications of Shimura varieties of Hodge type
11:30 Benoît Stroh (Université Paris 13)
Intersection cohomology of non-compact Shimura varieties at places of bad reduction
12:30 - 2:00 Lunch
2:00 - 3:00

T. Gee (Imperial College)
p-adic Hodge-theoretic properties of etale cohomology with mod p coefficients, and the cohomology of Shimura varieties

Confirmed Speakers

Ana Caraiani - Harvard University
Matthew Emerton - University of Chicago
Laurent Fargues - Université de Strasbourg
Toby Gee - Imperial College
Benjamin Howard - Boston College
Adrian Iovita - Concordia
Mark Kisin - Harvard University
Stephen Kudla - University of Toronto
Kai-Wen Lan - Princeton University and IAS
Keerthi Madapusi Pera - Harvard University
Elena Mantovan - California Institute of Technology
Sophie Morel - Harvard University
Vincent Pilloni - ENS-Lyon
Peter Scholze - University of Bonn
Sug-Woo Shin - MIT
Benoît Stroh - Université Paris 13
Richard Taylor - Princeton University and IAS
Eva Viehmann - University of Bonn
Wei Zhang - Columbia University


Full Name University Name
Agarwal, Mahesh University of Michigan-Dearborn
Allen, Patrick University of California, Los Angeles
Andrews, Rob (no affiliation)
Attwell-Duval, Dylan McGill University
Bellovin, Rebecca Stanford University
Bergdall, John Brandeis University
Bian, Ce University of Calgary
Boeckle, Gebhard Heidelberg University
Boxer, George Harvard University
Calegari, Frank Northwestern University
Caraiani, Ana Harvard University
Chen, Miaofen Universität Bonn
Chenevier, Gaëtan CNRS, École Polytechnique
Cheung, Amy McGill University
Chida, Masataka Kyoto University
Chida, Masataka Kyoto University
Chojecki, Przemyslaw UPMC
Clozel, Laurent Université Paris-Sud 11
Colmez, Pierre C.N.R.S.
Dat, Jean-Francois Université Pierre et Marie Curie (Paris 6)
de Quehen, Victoria McGill University
Di Fiore, Carlos University of Buenos Aires
Dousmanis, Makis The Fields Institute
Eischen, Ellen Northwestern University
Emerton, Matthew University of Chicago
Fargues, Laurent Université de Strasbourg
Fiori, Andrew McGill University
Fiori, Andrew McGill University
Fontaine, Jean-Marc Université Paris-Sud 11
Gao, Hui Purdue University
Gee, Toby Imperial College
Geraghty, David Princeton/Institute for Advanced Study
Goren, Eyal McGill University
Guerberoff, Lucio University of California, Los Angeles
Haines, Thomas University of Maryland
Hamacher, Paul Universität Bonn
Hellmann, Eugene Universität Bonn
Helm, David University of Texas at Austin
Herzig, Florian University of Toronto
Hoang Duc, Auguste IRMA
Howard, Benjamin Boston College
Iovita, Adrian Concordia University
Johansson, Christian Imperial College London
Kim, Wansu University of Cambridge
Kisin, Mark Harvard University
Klingler, Bruno Université Paris Diderot
Kret, Arno Université Paris-Sud
Kudla, Stephen University of Toronto
Lan, Kai-Wen Princeton University and IAS
Le Hung, Bao Harvard University
Le, Daniel University of Chicago
Levin, Brandon Stanford University
Lichtenstein, Samuel Stanford University
Lin, Yinbang Northeastern University
Ludwig, Judith Imperial College London
Ma, Li Paris 6 University
Madapusi Pera, Keerthi Harvard University
Mantovan, Elena California Institute of Technology
Mieda, Yoichi Kyushu University
Mok, Chung Pang McMaster University
Morel, Sophie Harvard University
Moreland, Dylan Northwestern University
Morita, Kazuma Hokkaido University
Morra, Stefano University of Toronto/Universite de Montpellier 2
Muller, Alain IRMA, Université de Strasbourg
Nekovár, Jan Université Pierre et Marie Curie (Paris VI)
Nguyen, Duy Tan Institute of Mathematics
Nicole, Marc-Hubert Université Aix-Marseille II
Niziol, Wieslawa University of Utah
Pappas, George Michigan State University
Pepin Lehalleur, Simon University of Zürich
Pilloni, Vincent École Normale Supérieure de Lyon
Pollack, Aaron Princeton University
Ramakrishna, Ravi Cornell University
Rapoport, Michael Universität Bonn
Richarz, Timo Universität Bonn
Rosso, Giovanni K.U. Leuven
Sandeep Varma, Vadakkumkoor University of Chicago
Savitt, David University of Arizona
Scholl, Tony University of Cambridge
Scholze, Peter Universität Bonn
Schwermer, Joachim University of Vienna
Sehanobish, Arijit University of Maryland
Shah, Shrenik Princeton University
She, Yiwei University of Chicago
Shen, Xu Université Paris-Sud 11
Shin, Sug Woo Massachusetts Institute of Technology
Smithling, Brian University of Toronto
Stroh, Benoît CNRS
Taďbi, Olivier Ecole Normale Supérieure
Takeda, Shuichiro The Fields Institute
Takei, Luiz McGill University
Tan, Fucheng McMaster University
Taylor, Richard Institute for Advanced Study
Terstiege, Ulrich Universitaet Duisburg-Essen
Thorne, Jack Harvard University
Varma, Ila Princeton University
Ventullo, Kevin University of California, Los Angeles
Viehmann, Eva Universität Bonn
Wang, Haining Pennsylvania State University
White, Paul-James University of Oxford
Xiao, Liang University of Chicago
Xu, Bin University of Toronto
Zhang, Wei Columbia University


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