报告题目：On the classification of transitive modular tensor categories

报告简介：The notion of modular (tensor) categories evolved from the study of rational conformal field theory and topological quantum field theory. It has deep connections with many areas of mathematics and physics, including the representation theory of (quantum) groups, vertex operator algebra and quantum invariants of knots/link/3-manifolds. Modular categories enjoy rich arithmetic properties such as the congruence kernel property and the Galois group action on simple objects. In this talk, we will briefly review the theory of modular categories with a focus on their arithmetic properties. Then we will present our recent work on the complete classification of modular categories which admit transitive Galois group actions.

报告人：王亦龙

王亦龙，2018年毕业于俄亥俄州立大学，现任路易斯安那州立大学博士后。主要从事模张量范畴及其对应的拓扑量子场论的研究，工作方向涉及模张量范畴的分类、数值不变量、Witt群结构以及拓扑量子场论的整数性质等诸多方面。相关论文发表在Selecta Mathematica、Algebraic & Geometric Topology等期刊。

报告时间：2021年5月7日（星期五）上午 10:30-11:30.

报告地点：数学科学学院204会议室

腾讯会议，ID：939 577 898

主办单位：扬州大学数学科学学院

欢迎广大师生参加！