Representation Theory and Noncommutative Geometry

Date: 6 January - 4 April 2025

Location: CIRM and IHP

This trimester is part of an ongoing effort to bridge two fields of mathematics : the representation theory of locally compact groups and the theory of operator algebras. These research domains share origins in harmonic analysis, spectral theory and quantum mechanics but grew in separate directions. Recent progress in representation theory, involving especially non-Riemannian symmetric spaces and spherical varieties, and new tools developed in operator algebras, especially those involving K-theory and the other methods of non-commutative geometry, offer exciting prospects for new work at the interface between the two fields.

CMI Enhancement and Partnership program