报告题目 (Title)：Pointed modular tensor category（点模张量范畴）

报告人 (Speaker)：董崇英教授（美国加州大学Santa Cruz分校教授）

报告时间 (Time)：2022年3月26日(周六) 9:00-10:00

报告地点 (Place)：腾讯会议

会议ID：765-947-281

主办部门：理学院数学系

报告摘要：A modular tensor category is pointed if every simple object is a simple current. We show that any pointed modular tensor category is equivalent to the module category of a lattice vertex operator algebra. Moreover, if the pointed modular tensor category C is the module category of a twisted Drinfeld double associated to a finite abelian group G and a 3-cocycle with coefficients in U(1), then there exists a selfdual positive definite even lattice L such that G can be realized an automorphism group of lattice vertex operator algebra V_L, V_L^G is also a lattice vertex operator algebra and C is equivalent to the module category of V_L^G. This is a joint work with S. Ng and L. Ren.