报告1.Large orbits in finite group actions

时间：2020年6月18日晚上22:00-23:00

Zoom 会议室：********

主讲人及简介

Thomas M. Keller，美国德克萨斯州立大学数学系教授，主要从事群论的研究。

报告内容

We present a survey on results and open problems centering around the question of the existence of "large" orbits in finite linear group actions. If a finite group G acts linearly on a finite vector space V, one is often interested in finding a large orbit in this action. The most extreme case is the existence of an orbit of size |G|. Such an orbit is called a regular orbit. In general, regular orbits need not exist, but they often do. Existence results for regular orbits are very important, but when they do not exist, it is still interesting to study what can be said about the largest orbit in the action.

报告2.Groups, graphs, and characters

时间：2020年6月22日晚上22:00-23:00

Zoom 会议室：********

主讲人及简介

Mark L. Lewis，美国肯特州立大学数学科学系教授，主要从事群论的研究。

报告内容

In this talk, we give describe several graphs that can be attached to groups.  We describe a tour of several research problems involving these graphs.  We introduce background about characters.  We close by outlining a number of research problems involving characters.