2025 - T1 - WS2 - Tempered representations and K-theory

Collection 2025 - T1 - WS2 - Tempered representations and K-theory

Organizer(s) Afgoustidis, Alexandre ; Clare, Pierre
Date(s) 24/02/2025 - 28/02/2025
linked URL https://indico.math.cnrs.fr/event/10857/
10 16

Paley-Wiener for the Casselman--Wallach algebra and the Oka principle

By Jacob Bradd

I will talk about how Delorme's techniques used in his proof of the Paley-Wiener theorem can be applied to the Casselman-Wallach Schwartz algebra of rapidly decreasing smooth functions on a real reductive group, and how they can be used to give a sort of structure theorem strong enough to prove a refined version of the Connes-Kasparov isomorphism. If there's time, I will discuss how the Connes-Kasparov isomorphism (in the formulation I use) fits into an "Oka principle" philosophy for Baum-Connes (which started with Bost), and I will discuss further ideas in this direction.

Information about the video

Citation data

  • DOI 10.57987/IHP.2025.T1.WS2.010
  • Cite this video Bradd, Jacob (26/02/2025). Paley-Wiener for the Casselman--Wallach algebra and the Oka principle. IHP. Audiovisual resource. DOI: 10.57987/IHP.2025.T1.WS2.010
  • URL https://dx.doi.org/10.57987/IHP.2025.T1.WS2.010

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