Jul 11 – 29, 2022
IHES
Europe/Paris timezone

Shimura Varieties and Modularity (2/3)

Jul 26, 2022, 3:00 PM
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 Calegari-Geraghty method for proving modularity lifting theorems beyond the classical setting of the Taylor-Wiles method. We discuss the three conjectures that this method relies on (existence of Galois representations, local-global compatibility and vanishing of cohomology outside a certain range of degrees) and their current status, and then explain the commutative algebra underlying the method.

Presentation materials