Speaker: Futaba Sato (University of Tokyo)

Title: Heat semigroups on quantum automorphism groups of finite dimensional C*-algebras

Time/Date: 4:45-6:15pm, May 20 (Tue), 2025

Room: 126 Math Sci Building (It will be also online. The Zoom link is the same as before. If you don't have one, please ask Kawahigashi.)

Abstract: We investigate heat semigroups on a quantum automorphism group Aut+(B) of a finite dimensional C*-algebra B and its Plancherel trace. These are compact quantum groups that contain essential examples, such as quantum permutation groups. In the first half of the talk, we see some properties of the heat semigroups on Aut+(B), such as hypercontractivity. In the latter part, we discuss noncommutative L^p-theoretical properties of Aut+(B): the sharpness of the Sobolev embedding property. This talk is based on the following preprint: F. Sato, "Heat semigroups on quantum automorphism groups of finite dimensional C*-algebras", arXiv:2503.03448 [math.QA].