Modular data of non-semisimple modular categories
Organizers
Speaker
Liang Chang
Time
Wednesday, October 30, 2024 10:30 AM - 11:45 AM
Venue
A3-3-301
Online
Zoom 242 742 6089
(BIMSA)
Abstract
Modular tensor categories are semisimple tensor categories with nondegenerated braiding, which have many applications in low dimensional topology and topological physics. Recently, the notion of modularity is extended to non-semisimple tensor category. In this talk, we will talk about the work to extend the well-understood theory of semisimple modular categories, such as the $SL(2, \mathbb{Z})$-representation and rank finiteness, to the non-semisimple case by using representations of factorizable ribbon Hopf algebras.