|Workshop on Motives, Galois Representations and Cohomology Around the Langlands Program|
|Topic:||The mod $p$ derived spherical Hecke algebra: structure and applications|
|Date:||Monday, November 6|
|Time/Room:||2:30pm - 3:30pm/S-101|
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.