Speaker：Weiqiang Wang (The University of Virginia)

Time：2020-10-08, 09:00

Location：Zoom APP ID: 926 6727 9377 (Pwd: 420441)

Abstract:  

Drinfeld-Jimbo quantum groups have played a central role in representation theory, quantum topology, and math physics. The i-quantum groups arising from quantum symmetric pairs can be regarded as a vast generalization of quantum groups. A few years ago, Huanchen Bao in his thesis showed that the i-quantum groups provided a natural setting for generalizations of Jimbo-Schur duality and Lusztig's canonical basis, which had applications to Kazhdan-Lusztig theory. A new striking development recently is the Hall algebra realization of i-quantum groups developed by Ming Lu and his collaborators, and this has led to application to Drinfeld type realization of affine i-quantum groups. In my talk I will give an introduction to i-quantum groups and survey some of these developments.