学 术 报 告

报告题目：Deforming vertex algebras by module and comodule actions of vertex

bialgebras.

报告人：Haisheng Li(Rutgers, The State University of New Jersey)

报告时间：2020年10月30日上午9:00

地点： 线上(腾讯会议 ID：642 740 039)

yl23455永利

2020.10.22

报告摘要：Previously, we introduced a notion of vertex bialgebra and a notion of module vertex

algebra for a vertex bialgebra, and gave a smash product construction of nonlocal vertex algebras.

Here, we introduce a notion of right comodule vertex algebra for a vertex bialgebra. Then we give a

construction of quantum vertex algebras from vertex algebras with a right comodule vertex algebra

structure and a compatible (left) module vertex algebra structure for a vertex bialgebra. As an

application, we obtain a family of deformations of the lattice vertex algebras. This is based on a

joint work with Naihuan Jing, Fei Kong, and Shaobin Tan.

报告人简介：李海生，美国Rutgers大学教授、博士生导师，主要从事Vertex operator algebras、Quantum vertex algebras仿射李及相关无究维李代数的重要表示与结构等国际前沿方向研究，在Duke Math.J, Adv. Math., Com. Math. Phys., Tans. AMS等国际知名权威杂志发表论文90余篇，出版著作1部.