Academics

$\alpha$-induction, tensor categories and operator algebras

Time:2023-06-16 Fri 17:00-18:30

Venue:ZOOM: 815 4690 4797(PW: BIMSA)

Organizer:Nicolai Reshetikhin, Andrey Tsiganov, Ivan Sechin

Speaker:Yasuyuki Kawahigashi University of Tokyo, Japan

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.

DATEJune 16, 2023
SHARE
Related News
    • 0

      Spectral affine Hecke categories and spectral DL induction (I)

      MCM-YMSC p-adic Geometry Learning SeminarOrganizers:Shizhang Li (MCM), Koji Shimizu (YMSC), Yihang Zhu (YMSC), Xiangqian Yang (PKU)Speaker:Lin Chen (YMSC)Time:Mon., 14:30-16:00, Nov. 3, 2025Venue:MCM 110Title:Spectral affine Hecke categories and spectral DL induction (I

    • 1

      Vertex operator algebras and conformal blocks

      AbstractConformal blocks are central objects in the study of 2d conformal field theory and vertex operator algebras (VOAs). Indeed, many important problems in VOAs are related to conformal blocks, including modular invariance of VOA characters (the earliest such type of problem is the famous monstrous moonshine conjecture), the construction of tensor categories for VOA representations, the stud...