SIMION STOILOW INSTITUTE OF MATHEMATICS OF THE ROMANIAN ACADEMY

Monthly conference:

Character theory of pivotal fusion categories: structure

and applications

Sebastian Burciu (IMAR)

Wednesday January 19th, 2022, 13:00, online

Zoom link:

https://us02web.zoom.us/j/87184714963?pwd=TUdZcGJaeVRIWmsxZ3hhb2Flc2RVdz09

Meeting ID: 871 8471 4963, Passcode: 520857

Abstract: Fusion categories were intensively studied in the last twenty years in connections with many fields of mathematics such as representation theory, quantum groups, algebraic topology, operator algebras, combinatorics and others. Recently, Kenichi Shimizu introduced a notion of a character associated with each object of a pivotal fusion category. In this talk we will discuss some aspects of the character theory of finite groups that can be extended to pivotal fusion categories. Some of their consequences to the structure of the categories and their Grothendieck groups will also be presented.