Report Title：On a certain family of vertex algebras associated with vertex algebroids

Reporter：Haisheng Li

Institution：Rutgers University-Camden

Time：Mar. 9, 2023   09:00-11:00

Location：ZOOM Id：904 645 6677，Password：2023

Meeting link：//us02web.zoom.us/j/9046456677?pwd=UHErd3RJVzFsNzNnczFZYm9uYlV6QT09

Abstract: This talk is about a family of vertex algebras associated with vertex algebroids, constructed by Gorbounov, Malikov, and Schechtman. As the main result, we classify all the (graded) simple modules for such vertex algebras and we show that the equivalence classes of graded simple modules one-to-one correspond to the equivalence classes of simple modules for the Lie algebroids associated with the vertex algebroids. To achieve our goal, we construct and exploit a Lie algebra from a given vertex algebroid. This talk is based on a joint work with Gaywalee Yamskulna.

Introduction of the Reporter：Haisheng Li is a professor of Rutgers University-Camden. His main research is on vertex operator algebras and quantum vertex algebras. Among the main results are conceptual constructions of vertex algebras and their modules, twisted modules; A theory of quasi modules; A theory of (weak) quantum vertex algebras and φ-coordinated modules; A conceptual association of double Yangians and quantum affine algebras with quantum vertex algebras. He published more than 100 articles in Duke Math. J., Com. Math. Phys., Adv. Math., Tans. AMS and other Internationally renowned journals.