From 3-manifolds to modular tensor categories
报告题目(Title):From 3-manifolds to modular tensor categories
报告人(Speaker):邱杨 (UCSB)
地点(Place):腾讯会议:473648327
时间(Time):2021年11月19日(周五)下午1:00-2:30
邀请人(Inviter):田垠
报告摘要
The progress of TQFT has revealed connections between the algebraic world of tensor categories and the topological world of 3-manifolds, such as Reshetikhin-Turaev and Turaev-Viro theories. Motivated by M-theory in physics, Cho-Gang-Kim recently proposed another relation by outlining a program to construct modular tensor categories from certain classes of closed oriented 3-manifolds. In this talk, I will introduce the basics about modular tensor categories and talk about our mathematical exploration of this program.