BIMSA > BIMSA Integrable Systems Seminar $\alpha$-induction, tensor categories and operator algebras
$\alpha$-induction, tensor categories and operator algebras
Organizers
Nicolai Reshetikhin , Ivan Sechin , Andrey Tsiganov
Speaker
Yasuyuki Kawahigashi
Time
Friday, June 16, 2023 5:00 PM - 6:30 PM
Venue
Online
Abstract
Tensor categories play an important role in theory of subfactors in operator algebras in connection to conformal field theory and condensed matter physics. A certain induction procedure called $\alpha$-induction has been studied as a quantum version of the classical induction in group representation theory. I will present this without assuming knowledge on operator algebras.
Speaker Intro
Yasuyuki Kawahigashi is a Professor at the University of Tokyo. He was an invited speaker at ICM 2018. His specialty is operator algebra theory, especially subfactor theory in the theory of von Neumann algebras, and algebraic quantum field theory, as well as these and other fields (quantum groups, three-dimensional topology, conformal field theory, solvable lattice models, vertex operator algebras). He is in editorial boards for many journals such as Comm. Math. Phys. .