中科院数学与系统科学研究院

数学研究所

中科院华罗庚数学重点实验室

华罗庚青年数学论坛

综合报告

报告人： 鲍涣辰 博士 （新加坡国立大学）

题  目：Regularity theorems for totally non-negative flag varieties

时  间：2022.10.14（星期五），16:00-17:00

地  点：Zoom会议：466 356 2952 密码：mcm1234       

摘  要：The study of totally positive matrices, i.e., matrices with positive minors, dates backto 1930s. The theory was generalised by Lusztig to arbitrary split reductive groups using canonical bases, and has significant impacts on the theory of cluster algebras, higher Teichmuller theory, physics, etc. In this talk, I will give an introduction tothe theory of total positivity, focusing on several regularity theorems. This is based on several joint works with Xuhua He.