Workshop on Cohomology of Shimura Varieties: Arithmetic Aspects and the Construction of Galois Representations
Description
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.
Schedule
| 09:00 to 09:30 |
Coffee
|
| 09:30 to 10:30 |
Matthew Emerton, University of Chicago |
| 10:30 to 11:00 |
Coffee Break
|
| 11:00 to 12:00 |
Laurent Fargues, Institut de Mathématiques de Jussieu-Paris Rive Gauche |
| 12:00 to 14:00 |
Lunch Break
|
| 14:00 to 15:00 |
Elena Mantovan, California Institute of Technology |
| 15:00 to 15:30 |
Coffee Break
|
| 15:30 to 16:30 |
Cohomology of non-compact Shimura varieties
Sophie Morel, Princeton University |
| 09:00 to 09:30 |
Coffee
|
| 09:30 to 10:30 |
Sug Woo Shin, University of California Berkeley |
| 10:30 to 11:00 |
Coffee Break
|
| 11:00 to 12:00 |
Peter Scholze, Max Planck Institute for Mathematics and University of Bonn |
| 12:00 to 14:00 |
Lunch Break
|
| 14:00 to 15:00 |
Eva Viehmann, Technical University Munich |
| 15:00 to 15:30 |
Coffee Break
|
| 15:30 to 16:30 |
Mark Kisin, Harvard University |
| 09:00 to 10:15 |
Ana Caraiani, Imperial College London |
| 10:15 to 11:30 |
Local-global compatibility at primes dividing l
Richard Taylor, Institute for Advanced Study, Princeton |
| 11:30 to 12:30 |
Wei Zhang, Columbia University |
| 12:30 to 14:00 |
Lunch Break
|
| 14:00 to 15:00 |
Mark Kisin, Harvard University |
| 15:00 to 15:30 |
Coffee Break
|
| 15:30 to 16:30 |
Peter Scholze, Max Planck Institute for Mathematics and University of Bonn |
| 09:00 to 10:15 |
Adrian Iovita, Concordia University |
| 10:15 to 11:30 |
Classicity in weight (1,1,...1) and modularity
Vincent Pilloni, CNRS / Université Paris-Saclay |
| 11:30 to 12:00 |
Galois representations for regular algebraic cusp forms over CM-fields
Richard Taylor, Institute for Advanced Study, Princeton |
| 12:30 to 14:30 |
Lunch Break
|
| 14:00 to 15:00 |
Generating series for arithmetic cycles on Shimura varieties
Stephen Kudla, University of Toronto |
| 15:00 to 15:30 |
Coffee Break
|
| 15:30 to 16:30 |
A conjectural extension of the Gross-Zagier theorem
Ben Howard, Boston College |
| 09:00 to 10:15 |
K. Lan (Institute for Advanced Study) |
| 10:15 to 11:30 |
Keerthi Madapusi Pera, Boston College |
| 11:30 to 12:30 |
Intersection cohomology of non-compact Shimura varieties at places of bad reduction
Benoît Stroh, LAGA, Institut Galilée, Université Paris 13 |
| 12:30 to 14:00 |
Lunch Break
|
| 14:00 to 15:00 |
Toby Gee, Imperial College London |
