Representation Theory and Noncommutative Geometry
Date: 6 January - 4 April 2025
Location: CIRM and IHP
Event type: Extended Format
Organisers: Alexandre Afgoustidis (Lorraine), Anne-Marie Aubert (Sorbonne), Pierre Clare (William and Mary), Jan Frahm, Angela Pasquale (Lorraine), Haluk Sengün (Sheffield)
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.
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