# The mod $p$ derived spherical Hecke algebra: structure and applications

 Workshop on Motives, Galois Representations and Cohomology Around the Langlands Program Topic: The mod $p$ derived spherical Hecke algebra: structure and applications Speaker: Niccolò Ronchetti Affiliation: Stanford University Date: Monday, November 6 Time/Room: 2:30pm - 3:30pm/S-101 Video Link: https://video.ias.edu/MotivesGaloisRepsandCohomology/2017/1106-NiccoloRonchetti

Abstract: I will introduce the mod p derived spherical Hecke algebra of a p-adic group, and discuss its structure via a derived version of the Satake homomorphism. Then, I will survey some speculations about its action on the cohomology of arithmetic manifolds.