学术报告

报告题目：Regular orbits of finite primitive solvable groups

报告人：杨勇教授 (美国德克萨斯州立大学)

报告时间：2022年4月25日 9:30-10:30

报告地点：腾讯会议315-683-684

报告摘要：The case when a linear group G acting primitively on thevector space V is of central importance in the theory of representations of solvable groups. In short, such groups have an invariant e that measures their complexity. It is known that if e > 118, G has a regular orbit. I was able to improve this result dramatically by classifying all the cases when the regular orbit exists. In some of my early papers, I gave a coarse classification of the existence of regular orbits for primitive solvable linear groups, and the results have been widely used by other people and myself to study related problems of arithmetic properties of group invariants. A more detailed final classification has been completed in some of my recent work along with several further applications.

报告人简介：杨勇于2009年在University of Florida取得数学博士学位（导师：Alexandre Turull），现为Texas State University终身教授（博士生导师）。2016年在第十四届全国代数学会议上作大会邀请报告（45分钟）。主要研究成果是线性群的表示及其轨道结构的刻画以及轨道结构在有限群数量关系上的应用，部分成果取得了较大的国际影响。