研讨班报告

表示论研讨班:Chiral differential operators on classical invariant rings

发布时间:2026-05-15

院数学与系统科学研究院

数学研究所

数学科学全国重点实验室

表示论研讨

Speaker:  宋百林 教授(中国科学技术大学)

Inviter: 方明

Language: Chinese

Title: Chiral differential operators on classical invariant rings

Time & Venue: 2026515日(星期五)1430-1530 & 南楼N818

Abstract: We construct chiral analogues of differential operators acting on classical invariant rings as global sections of sheaves of chiral differential operators (CDO) associated with vector bundles on smooth open subvarieties of affine GIT quotients, using BRST reduction. As an application, we construct new infinite families of simple conformal quasi-lisse vertex algebras.  This is a joint work in progress with Tomoyuki Arakawa and Xuanzhong Dai.



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