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2025-T1 Representation Theory and Noncommutative Geometry

Representation Theory and Noncommutative Geometry, Paris

Amphitheater Darboux
11, Rue Pierre et Marie Curie
75005 Paris

Thematic trimester programme with short courses, seminars and workshops

January 6 to April 4, 2025 at the Institut Henri Poincaré, Paris


Financial support requests are now closed. 

The 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. 

Research workshops  and mini-courses will be the occasion for researchers at every career stage to get acquainted with recent developments in these areas, exchange ideas and explore new research directions. 

Graduate students and post-doctoral researchers whose work connects to one or more of the topics of the trimester are particularly encouraged to participate.


Timeline for the trimester (tentative):

January 6 to 10 — Introductory school at CIRM (Marseille): Methods in representation theory and operator algebras

A separated (free) registration is needed for the school, with deadline the 15 October 2024.

January 13 to 17 — Minicourses: branching problems and symmetry-breaking

January 20 to 24 — Workshop 1: Intertwining operators and geometry

January 27 to 31 and February 3 to 7 — Minicourses: the Baum–Connes conjecture and the Mackey bijection (A. Valette, N. Higson) 

February 10 to 14 — TBD

February 17 to 21 — Minicourse: structure of tempered homogeneous spaces (T. Kobayashi)

February 24 to 28 —Workshop 2: Tempered representations and K-theory

March 3 to 7 — p-adic week: will include minicourses on the Bernstein center and other topics

March 10 to 14 — Theta correspondence week: will include minicourses

March 17 to 21 — Minicourse: AQFT and causal homogeneous spaces (K.-H. Neeb)

March 24 to 28 — Workshop 3: Analysis on homogeneous spaces and operator algebras

March 31 to April 4 — Wrap-up and discussion sessions

Webpage for the minicourses and other activities outside the main workshops and winter school: click here

Organising committee:

  • Alexandre Afgoustidis (CNRS)
  • Anne-Marie Aubert (CNRS)
  • Pierre Clare (College of William & Mary)
  • Jan Frahm (Aarhus University)
  • Angela Pasquale (Université de Lorraine) 
  • Haluk Şengün (University of Sheffield) 

Scientific committee:

  • Nigel Higson (Penn State University)
  • Roger Howe (Texas A&M University)
  • Toshiyuki Kobayashi (University of Tokyo) 
  • Georges Skandalis (IMJ PRG)
  • Birgit Speh (Cornell University)


Back to the thematic trimester main page 


Programme coordinated by the Centre Emile Borel at IHP


Sorbonne Université, CNRS