This week's seminars
Arithmetic Study Group: Vanishing theorems for the cohomology of Shimura varieties
21 January 2020 13:00 in CM219
Abstract: I will survey some recent vanishing theorems for the mod p cohomology of Shimura varieties. I will mention some p-adic results and some l-adic results, where l is a prime different from p. Both settings rely on the geometry of the Hodge-Tate period morphism, but I will try to highlight the differently flavoured techniques that are needed. This is largely based on joint work with Daniel Gulotta and Christian Johansson, and on separate joint work with Peter Scholze.