Deforming vertex algebras by vertex bialgebras

发布时间：2018-12-25 来源：赢咖3 浏览次数：

Speaker:	Haisheng Li 教授	DateTime:	2019.01.10（周四）上午 9：30-10：30
Brief Introduction to Speaker: Haisheng Li ，Rutgers University-Camden教授。		Place:	6号楼2楼报告厅
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 general construction of quantum vertex algebras from vertex algebras witha right comodule vertex algebra structure and a compatible (left) module vertex algebra structure for a vertex bialgebra H. 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.