Lectures

Sophie Morel
(Princeton University)

March 10, 9-11 and 12:30-14:00

Cohomology of Shimura varieties

(morning)

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.

R=T theorems

(afternoon)

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 
R->T.

Place: IPM, Niavaran Building

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