Kac-Moody Groups: Construction, Application and Generalization

发布时间：2021-11-18 作者：77779193永利官网浏览次数：

Speaker:	Abid Ali	DateTime:	2021年11月23日 (周二)上午9：00-10:00
Brief Introduction to Speaker: Abid Ali，Rutgers University		Place:	腾讯会议（会议号：983946159 无密码）
Abstract:Kac-Moody algebras were introduced by V. G. Kac and R. Moody, independently, in the 1960s as an infinite-dimensional generalization of finite-dimensional complex semimiple Lie algebras. These Lie algebras have rich mathematical structure and several applications in number theory, combinatorics, geometry, and theoretical physics, to name a few. Kac-Moody groups are abstract groups associated to these Lie algebras. In this seminar, we will give an overview of these groups, state their applications of our interest, and talk about the generalizations we are aiming to look for.