Feb 24 – 28, 2025
Institut Henri Poincaré
Europe/Paris timezone

Topological K-theory of reductive $p$-adic groups

Feb 27, 2025, 11:00 AM
1h
Amphithéâtre Hermite (Institut Henri Poincaré)

Amphithéâtre Hermite

Institut Henri Poincaré

11 rue Pierre et Marie Curie 75005 Paris

Speaker

Maarten Solleveld (Radboud Universiteit Nijmegen)

Description

The goal of this talk is a simple, concrete description of the topological K-theory of the reduced C*-algebra of a reductive p-adic group $G$, in terms coming from representation theory.

We will discuss the structure of several group algebras of $G$, and how the K-theory can be computed from the space of irreducible tempered $G$-representations. The final description is closely related to conjectures by Aubert-Baum-Plymen-Solleveld.

Presentation materials

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