数学学科2022系列学术报告之八暨子因子相关理论研讨会（一）

　　报告题目：Pointed modular tensor category

　　报告人：董崇英教授（University of California）

　　报告时间：2022年4月23日（周六）上午8:30--9:30

　　报告地点：线上，腾讯会议ID：980 137 280（无密码）

　　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 VL, VLG is also a lattice vertex operator algebra and C is equivalent to the module category of VLG. This is a joint work with S. Ng and L. Ren.

　　报告题目：Representations of the toroidal extended affine Lie algebras

　　报告人：谭绍滨教授（厦门大学）

　　报告时间：2022年4月23日（周六）上午9:30-10:30

　　报告地点：线上，腾讯会议ID：980 137 280（无密码）

　　报告摘要：The toroidal extended affine Lie algebras （EALAs） are a class of important EALAs. In this talk, we study the classification of irreducible integrable modules with finite dimensional weight spaces for the toroidal EALAs G, and prove that there is a vertex algebra V（G） and an automorphism group of V（G） equipped with a linear character, such that the category the （integrable） restricted modules of the toroidal EALAs G are in one to one correspondence with the category of equivariant quasi-modules of the （quotient） vertex algebras.

　　报告题目：Property Gamma and reducible operators in type II_1 factors

　　报告人：石瑞教授（大连理工大学）

　　报告时间：2022年4月23日（周六）上午10:30-11:30

　　报告地点：线上，腾讯会议ID：980 137 280（无密码）

　　报告摘要：Property Gamma is not only a very important invariant to classify type II_1 factors but also related to other important properties of type II_1 factors. In this talk, we briefly introduce some progress that we have developed recently including a new characterization of Property Gamma and Halmos' problem 8 proposed in 1970.