Speaker: Yakov Varshavsky (Hebrew University of Jerusalem)

Where: In-Person at MIT Room 2-135, and on

Zoom: https://mit.zoom.us/j/93574730255 

Title: Automorphic functions as the trace of Frobenius

Abstract: 

The goal of my talk to explain a proof of the result asserting that the trace of the Frobenius endofunctor of the category of automorphic sheaves with nilpotent singular support is isomorphic to the space of unramified automorphic functions. More generally, traces of Frobenius-Hecke functors produce shtuka cohomologies.

 
This is a joint work with D. Arinkin, D. Gaitsgory, D. Kazhdan, S. Raskin and N. Rozenblyum.