Time: 2019.12.04 17:00 - 18:30

Place: 404 Math building

Title : Lefschetz number formula for Shimura varieties

Abstract : We explain our work on the proof of the formula, conjectured by Langlands and Kottwitz, for the Lefschetz numbers of Frobenius-twisted Hecke correspondence on the compactly supported cohomology of Shimura varieties, which, among others, includes the first step in the Langlands's program for the automorphicity conjecture of the Hasse-Weil zeta functions.

We also report on some related work on a full proof of Langlands-Rapoport conjecture.