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

The mod pp derived spherical Hecke algebra: structure and applications - Niccolò Ronchetti

Niccolò Ronchetti
Stanford University
November 6, 2017

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.