课程名称：

Introduction to vertex algebras and their representations

授课人：Haisheng Li（Rutgers University-Camden）

课程简介：

In this series of lectures, we shall study the basic theory of vertex algebras and their representations. More specifically, we first present the definitions of a vertex algebra and a module for a vertex algebra, and we discuss several equivalent definitions. For preparation, we study formal calculus especially formal delta functions and their basic properties. Furthermore, we study the conceptual construction of vertex algebras and modules by using vertex operators(fields). Finally, we study affine vertex algebras, which are an important class of vertex algebras associated to affine Lie algebras.

课程安排：

授课人简介：

李海生，美国罗格斯大学肯顿分校终身教授，著名华人数学家、顶点算子代数奠基人之一，多年来一直从事无穷维李代数、顶点代数、顶点算子代数的重要表示与结构理论的研究。在Duke Math. J.、Adv. Math.、Math. Ann.、Comm. Math. Phys.、Trans. Amer. Math. Soc.、Israel J. Math.、Math. Z.、Selecta Math. (N.S.)、J. Algebra、J. Pure Appl. Algebra等著名期刊发表高水平学术论文100余篇，被同行文章引用超3000篇次，并担任Electronic Research Archive杂志的编委。主持多项美国自然科学基金，一项中国自然科学基金（海外合作项目）。