3/8/2012

Mark Kisin
Harvard University

Mod p points on Shimura varieties

A conjecture of Langlands-Rapoport predicts the structure of the mod p points on a Shimura variety. The conjecture forms part of Langlands' program to understand the zeta function of a Shimura variety in terms of automorphic L-functions. I will report on progress towards the conjecture in the case of Shimura varieties attached to non-exceptional groups.