Representation Theory and Noncommutative Geometry, Paris

Mini-course: Hochschild homology of reductive p-adic groups - 1/3

6 mars 2025, 09:00

1h 30m

Amphitheater Darboux (IHP)

Orateur

Maarten Solleveld (Radboud Universiteit Nijmegen)

Description

The goal of this mini-course is to explain a description of the Hochschild homology of the Hecke algebra of a reductive $p$-adic group, in spectral terms related to the Bernstein center. The lectures will start quite general, and will gradually specialize towards $p$-adic groups. No prior knowledge of Hochschild homology is required.
Lecture 1: Introduction to Hochschild homology and twisted crossed product algebras
Lecture 2: Representation theory and Hochschild homology of graded Hecke algebras
Lecture 3: Hochschild homology of algebras associated to $p$-adic groups