学术报告
报告题目：Orbifold theory and modular extensions
报告人：董崇英教授
报告时间：2020/12/13 9:00-10:00
报告形式：腾讯会议
会议 ID：608 831 266
报告摘要：Orbifold theory studies a vertex operator algebra V under the action of a finite automorphism group G. The main objective is to understand the module category of fixed point vertex operator subalgebra V^G. We show that the module category of V^G can be understood in terms of the third cohomology group of G with coefficients in the unit circle if V is a nice vertex operator algebra. The idea is to establish a connection between the V^G-module category and modular extensions of G-module category. On the other hand, the modular extensions of G-module categories have been classified using the twisted Drinfeld quantum doubles of G in category theory. This talk will explain how to use the results on modular extensions by Drinfeld-Gelaki-Nikshych-Ostrik and Lan-Kong-Wen to study the module category of V^G. This is a joint work with Richard Ng and Li Ren.
报告人简介：董崇英，美国加州大学Santa Cruz分校教授。主要研究顶点算子代数和无穷维李代数。在顶点算子代数、Orbifold理论以及广义月光猜想等方面做出了重要的工作，是国际学术领域公认的顶点算子代数领域最有影响力的学者之一。