Speaker: LUO Li, Associate Professor, School of Mathematical Sciences, East China Normal University
Venue: Lecture hall, first floor, Institute for Advanced Mathematics, Zijingang Campus
Abstract:
As generalizations of quantum groups, the i-quantum groups have recently drawn considerable attention because of its application in Kazhdan-Lusztig theory due to Bao and Wang. In this talk, we will introduce some developments on the study of i-quantum groups. Precisely, we will establish the geometric Schur-Weyl duality and Howe duality for i-quantum groups, and give the Beilinson-Lusztig-MacPherson realization for i-quantum groups and their canonical basis. The talk is based on a series of joint work with WANG Weiqiang, FAN Zhaobin, LI Yiqiang, LAI Junru, CUI Weideng.