Thematic trimester programme with short courses, seminars and workshops
January 6 to April 4, 2025 at the Institut Henri Poincaré, Paris
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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:
January 6 to 10 — Introductory school at CIRM (Marseille): Methods in representation theory and operator algebras
January 13 to 17 — Minicourses: branching problems and symmetry-breaking
Coordinated by Toshiyuki Kobayashi, Michaël Pevzner and Birgit Speh.
- Introduction to representation theory, by Birgit Speh (3h)
- Branching problems in representation theory, by Toshiyuki Kobayashi (3h)
- Different aspects of Rankin–Cohen operators, by Michael Pevzner (2h)
- Geometric and analytic aspects of branching laws, by Bent Ørsted (2h)
- Lectures by Toshihisa Kubo and Hideko Sekiguchi
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 representation theory
- Introduction to the Baum-Connes conjecture, by Alain Valette (10h)
- The Baum-Connes conjecture for real reductive groups, by Nigel Higson (10h)
- Lecture by Pierre Julg
February 5 — Topic day: Operator algebras, index theory and geometry
Coordinated by Pierre Clare and Nicolas Prudhon in celebration of Pierre Julg's career
February 10 to 14 — Lectures on programme themes and discussion sessions
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
Coordinated by Anne-Marie Aubert, Hung Yean Loke and Monica Nevins.
- The Bernstein center, by David Renard (4h30)
- Hochschild homology of reductive p-adic groups, by Maarten Solleveld (4h)
- Research talks
March 10 to 14 — Theta correspondence week
Coordinated by Hung Yean Loke and Tomasz Przebinda.
- Local theta correspondence, by Chengbo Zhu (4h30)
- Howe correspondence for reductive groups over finite fields, by Anne-Marie Aubert (4h)
- Exceptional theta correspondences, by Gordan Savin (4h)
- Research talks
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
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
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Programme coordinated by the Centre Emile Borel at IHP
Sorbonne Université, CNRS
