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.