题目：Chiral differential operators on basic affine space and quasi-lisse vertex algebras

报告人：戴烜中，京都大学 

时间：2023年7月20日（星期四）上午10:00

地点：东区管理科研楼1418教室

摘要：The chiral differential operators (CDO) is defined as a sheaf of vertex algebras on non-singular algebraic varieties or smooth manifolds. It is known that the global chiral differential operators (CDO) on any smooth affine variety is quasi-lisse as its associated scheme is canonically isomorphic to the cotangent bundle. We will consider global CDO on the quasi-affine variety $G/N$, where $G$ is a special linear group and $N$ is its maximal unipotent group. We first briefly review the construction of CDO, and give explicit formulas for the global Virasoro vectors for $A$-type. We also state a conjecture that describes the relations between associated variety of the global CDO and the affine closure of cotangent bundle of $G/N$, and verify the lower dimensional cases by free field realizations.