报告题目：Quantum vertex algebras, double Yangians, and quantum affine algebras

主讲人：李海生教授（美国罗格斯大学肯顿分校）

时间：2025年8月1日（周五）15:00 p.m.

地点：卓远楼305会议室

主办单位：统计与数学学院

摘要：In this talk, we give a survey on certain developments in the field of quantum vertex algebras and show how to associate quantum vertex algebras to some quantum algebras. More specifically, we shall present the theory of (weak) quantum vertex algebras and modules, and give a natural association of quantum vertex algebras to double Yangians. We also present the theory of ?-coordinated modules for (weak) quantum vertex algebras, and give a conceptual association of ?-coordinated modules for quantum vertex algebras to quantum affine algebras. This talk is partly based on a joint work with F. Kong and a joint work with N. Jing, F. Kong, and S. Tan.

主讲人简介：

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）。