报告名称：On the realization of finite simple groups

报告专家：王立中

专家所在单位：北京大学

报告时间：2021年04月29日14：00-16：00

报告地点：腾讯会议（会议ID：109 121 841）

专家简介：王立中，北京大学副教授，博士生导师。主要从事有限群及其模表示论的研究。目前的学术兴趣是用同调及算术的方法研究经典的表示论问题。近期与张继平院士以及Jon F Carlson 教授合作研究了相对投射、复形的Green对应以及相对Morita型稳定等价，并与Raphael Rouquier 教授等合作研究了模的Brauer态射以及p-不可分分解，取得了一系列非常重要的研究成果。

报告摘要：In this talk, we will present a possible process to construct finite simple groups. At first,we will show that an character table of a finite group is determined by the decomposition numbers of the tensor product of irreducible characters. By using decomposition of tensor product, we can define a Quiver for each irreducible character of G. This quiver is called MacKey quiver. This implies that each simple group is determined by all MacKey quivers. In particular, we speculate that all MacKey quivers of a group is determined by its regular quiver. The Kac-Moody Lie algebra determined by a regular quiver is of indefinite type. We will try to realize a finite simple group by the automorphism group of the Kac-Moody Lie algebra associated with it.

邀请人：刘合国

（审稿：郑大彬）