Department of Mathematics Seminar: Haishen Li, Rutgers University-Camden (Friday, July 12, 2019)

Speaker

Haishen Li, Rutgers University-Camden, U.S.A.

Title

Deforming vertex algebras by vertex bialgebras

Abstract

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.

Date

Friday, July 12, 2019

Time

11 a.m. - 11:50 a.m.

Location

LH3058 (Lazaridis Hall, Room 3058)