Total positivity on the twisted product of flag varieties

Abstract: In this talk, we consider the twisted product of flag varieties, which include as special cases the double flag varieties, the Bott-Samelson varieties, and the Braid varieties. We will explain how to use the (single) flag variety of Kac-Moody groups to study the twisted product of flag varieties of reductive groups. As consequence, we will establish the cellular decomposition and regularity theorem of totally positive structure on the twisted product of flag varieties. In particular, we answer an open problem of Fomin and Zelevinsky on the double Bruhat cells. This talk is based on a joint work with Huanchen Bao (NUS).

zoom id: 971 8258 1676 password: 498175 Link: ucr.zoom.us/j/97182581676?pwd=enJybUJWWFN5YWVwSTVZanZJTkVJUT09

commutative algebraalgebraic geometrycombinatoricsquantum algebrarings and algebrasrepresentation theory

Audience: researchers in the topic

SJTU algebra seminar