Number Theory Seminar: Niccolo' Ronchetti

Recently, Venkatesh introduced a global version of the derived Hecke algebra to explain extra endomorphisms on the cohomology of arithmetic manifolds: the crucial local construction is a derived version of the spherical Hecke algebra of a reductive p-adic group. Working with p-torsion coefficients, we will describe a Satake homomorphism for the derived spherical Hecke algebra of a p-adic group. This allows us to understand its structure well enough to attack some global questions, which are work in progress.

This event is part of the PIMS Focus Group on Representations in Arithmetic.