The Baum-Connes conjecture for real reductive groups - Parts 5 & 6/10 | Vidéo

The Baum-Connes conjecture for real reductive groups - Parts 5 & 6/10

Appears in collection : 2025 - T1 - Representation theory and noncommutative geometry

Part 5 - Proof of the Bruhat-Harish-Chandra theorem

Distributions from intertwiners between parabolically induced representations. Bruhat decomposition. Bounding the dimensions of the spaces of equivariant distributions. Proof of the theorem.

Part 6 - The Connes-Kasparov isomorphism from the perspective of representation theory

The Mackey deformation family and continuity of the rescaled imaginary part of the infinitesimal character. A filtration of the deformation continuous field by ideals. Rescaling automorphisms, embedding morphisms, and computation of the subquotient continuous fields. Reformulation of the Connes-Kasparov isomorphism. Vogan’s theorem.