短课程Quantum vertex algebras and their equivariant ϕ-coordinated quasi modules

一、日期

2025年6月8日-16日

二、地点

上课地点：厦门大学海韵园实验楼S306

三、课程介绍  

（一）课程内容简介

This is a series of lectures on quantum vertex algebras, including vertex algebras, and their equivariant ϕ-coordinated quasi modules.

In Lecture 1, we shall begin by introducing the basic concepts of vertex algebras and their modules, and we shall discuss the essential tool—Formal Calculus, with some details. In Lecture 2, we present a conceptual construction of vertex algebras and their modules, and we discuss vertex algebras associated to afffne Lie algebras. In Lecture 3, we present a new construction of vertex algebras and we study equivariant quasi modules for vertex algebras. In Lecture 4, we study nonlocal vertex algebras, (weak) quantum vertex algebras and their modules. We present a conceptual construction of (weak) quantum vertex algebras and modules. In Lecture 5, we study (equivariant) ϕ-coordinated quasi modules for nonlocal vertex algebras, including a conceptual construction of weak quantum vertex algebras and their ϕ-coordinated quasi modules. For this series of lectures, some basic knowledge on associative algebras and Lie algebras will be sufffcient.

（二）授课老师简介

Professor Haisheng Li, 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 $\phi$-coordinated modules; A conceptual association of double Yangians and quantum affine algebras with quantum vertex algebras.

四、课程安排

五、联系人

叶老师，tymath2@xmu.edu.cn，0592-2580036