20200713 冯涛 On Cameron-Liebler line classes and associated classical groups

题目: On Cameron-Liebler line classes and associated classical groups
报告人： 冯涛，浙江大学研究员， 博士生导师
时间：2020/07/13  周一  14：30-15：30
腾讯会议 ID：690 594 700
摘要：A Cameron-Liebler line class is a collection of lines of  PG(3,q) that has certain geometric properties. It arises in the study of the orbits structures of collineation groups of projective geometries in 1982, and has various generalizations in recent years. In this talk, I will give a survey of the progress on this topic and report our recent constructions of Cameron-Liebler line classes. This includes the first infinite family of such line classes with q even. We then use the subgroup structure of the associated classical groups to determine the stabilizers of our new family. This is joint work with  Koji Momihara, Morgan Rodgers, Qing Xiang and Hanlin Zou.

报告人介绍：冯涛，2008年博士毕业于北京大学数学科学学院，毕业后先后于新加坡南洋理工大学、美国特拉华大学做博士后研究。2011年加入浙江大学数学科学学院。主要研究兴趣是代数组合、有限几何和编码理论。