数学科学学院学术报告[2025] 018号

(高水平大学建设系列报告1041号)

报告题目: Cohomology theory of difference Lie groups

报告人：黎允楠 副教授（广州大学）

报告时间：2025年03月27日下午15:00-16:00

报告地点： 汇星楼514

报告内容：A difference Lie group is a Lie group equipped with a difference operator, equivalently a crossed homomorphism with respect to the adjoint action. In this talk, first we introduce the notion of a representation of a difference Lie group, and establish the relation between representations of difference Lie groups and representations of difference Lie algebras via differentiation and integration. Then we introduce a cohomology theory for difference Lie groups and justify it via the van Est theorem. As applications, all abelian extensions of difference Lie groups are classified using the second cohomology group .This is joint work with Jun Jiang and Yunhe Sheng.

报告人简历：黎允楠 ，广州大学数学与信息科学学院副教授，硕士生导师，研究方向为李代数、量子群与代数组合，现与合作者在国际知名数学期刊Mathematische Zeitschrift, Pacific Journal of Mathematics, Journal of Combinatorial Theory, Series A., Journal of Algebra, Journal of Algebraic Combinatorics等发表学术论文十余篇。

欢迎师生参加！

报告邀请人：肖维  

                                           数学科学学院

                                         2025年03月25日