Regularity theorems for totally non-negative flag varieties
Dr. Huanchen Bao
2022-10-14 16:00-17:00
ZOOM
Speaker: Dr. Huanchen Bao (National University of Singapore)Time: 16:00-17:00 October 14, 2022 (Thursday)
Place: Online (Zoom ID: 4663562952 Password: mcm1234)
Title: Regularity theorems for totally non-negative flag varieties
Abstract: 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.
