Representation Theory and Noncommutative Geometry, Paris

The Baum-Connes conjecture for real reductive groups 7/10

6 févr. 2025, 10:00

1h

Amphitheater Darboux (IHP)

Orateur

Nigel Higson (Penn State University)

Description

Kasparov’s gamma element for SL(2,R)

Practical person’s guide to the Baum-Connes conjecture from the point of view of Kasparov theory: Kasparov’s representation ring (as an abelian group), the gamma element, Kasparov’s theorem for connected Lie groups, reduction to $\gamma =1$. First examples where $\gamma$ is equal to 1. Examples when $\gamma$ is not equal to 1. Julg’s proposal regarding uniformly bounded representations. Kasparov’s homotopy for SL(2,R).