Modular data of non-semisimple modular categories
演讲者
Liang Chang
时间
2024年10月30日 10:30 至 11:45
地点
A3-3-301
线上
Zoom 242 742 6089
(BIMSA)
摘要
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.