Jul 11 – 29, 2022
IHES
Europe/Paris timezone

Shimura Varieties and Modularity (1/3)

Jul 26, 2022, 11:00 AM
1h
Marilyn and James Simons Conference Center (IHES)

Marilyn and James Simons Conference Center

IHES

35 route de Chartres, F-91440 Bures-sur-Yvette, France

Speakers

Prof. Ana CARAIANI (Imperial College) Prof. Sug Woo SHIN (UC Berkeley)

Description

We describe the construction of Galois representations associated to regular algebraic cuspidal automorphic representations of GL_n over a CM field, as well as those Galois representations associated to torsion classes that occur in the Betti cohomology of the corresponding locally symmetric spaces. The emphasis will be on Scholze’s proof, which applies to torsion classes and which uses perfectoid Shimura varieties and the Hodge-Tate period morphism.

Presentation materials