Analysis on homogeneous spaces and operator algebras

On Harish-Chandra's Plancherel theorem for Riemannian symmetric spaces - 2/2

26 mars 2025, 11:00

1h

Amphithéâtre Hermite (Institut Henri Poincaré)

Orateur

Bernhard Krötz

Description

(Joint with Kuit and Schlichtkrull) We give an overview of the Plancherel theory for Riemannian symmetric spaces $Z=G/K$. In particular we illustrate recently developed methods in Plancherel theory for real spherical spaces by explicating them for Riemannian symmetric spaces, and we explain how Harish-Chandra's Plancherel theorem for $Z$ can be proven from these methods.