# Mod $p$ Points on Shimura Varieties

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Mark Kisin, Harvard University
Fine Hall 214

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.