March 10, 9-11 and 12:30-14:00
Cohomology of Shimura varieties
I will explain the conjectural
description of the cohomology of a Shimura variety and how people have
tried to prove this conjecture, on the example of a Siegel modular 3-fold.
If time permits, I’ll also talk about the applications to the Langlands
program for GL_n.
I will explain what R and T stand for
(ie universal deformation ring of Galois representations and ring of Hecke
operators acting on a space of modular/automorphic forms), how to
reformulate the Langlands correspondence as a R=T theorem, and why Vincent
Lafforgue’s can be interpreted as the construction of a surjective map
Place: IPM, Niavaran Building