2025 - T1 - Representation theory and noncommutative geometry

Collection 2025 - T1 - Representation theory and noncommutative geometry

Organizer(s) Afgoustidis, Alexandre ; Aubert, Anne-Marie ; Clare, Pierre ; Frahm, Jan ; Pasquale, Angela ; Şengün, Haluk

Date(s) 06/01/2025 - 04/04/2025

linked URL https://indico.math.cnrs.fr/event/10843/

33 112

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

By Maarten Solleveld

Also appears in collection : 2025 - T1 - WS2 - Tempered representations and K-theory

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.

Information about the video

Date of recording 27/02/2025
Date of publication 27/02/2025
Institution IHP
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Alexandre Duplessis
Format MP4
Venue IHP - Hermite Amphitheater

Citation data

DOI 10.57987/IHP.2025.T1.WS2.012
Cite this video Solleveld, Maarten (27/02/2025). Topological K-theory of reductive $p$-adic groups. IHP. Audiovisual resource. DOI: 10.57987/IHP.2025.T1.WS2.012
URL https://dx.doi.org/10.57987/IHP.2025.T1.WS2.012

Domain(s)

Representation Theory

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