报告题目：The exact factorizations of almost simple groups, and Cayley graphs of simple groups

摘   要：We presents a classification of exact factorizations of almost simple groups, which has been a long-standing open problem initiated around 1980 by the work of Wiegold-Williamson (1980), and significantly progressed by Liebeck, Praeger and Saxl in 2010. The classification is then used to solve several other problems, namely, to confirm a conjecture of Etingof, Gelaki, Guralnick and Saxl in 2000 on bicrossproduct Hopf algebras, to classify quasiprimitive permutation groups containing a regular simple subgroup, and to characterize highly transitive Cayley graphs of simple groups, which shows that 3-arc transitive Cayley graphs of simple groups are surprisingly rare.

王磊博士简介

2015年博士毕业于云南大学，导师是著名国际置换群论和代数组合学家李才恒教授，2018年北京大学国际数学中心博士后出站，合作导师张继平院士，研究方向为群及其表示与代数组合，2018年在云南大学参加工作，2020年获得云南省青年千人支持计划，现主持国家自然科学基金一项。

报告时间：2021年07月23日上午9:30-10:30

报告地点：js06金沙申请优惠大厅-官方大厅公共数学教研室C602

联系人：刘海林