Speaker:  Weinan Zhang  (University of Virginia)

Title:  Relative braid group symmetries on i-quantum groups

Abstract:  Introduced by Lusztig in the 1990s, the braid group symmetries constitute an essential part in the theory of quantum groups. The i-quantum groups are coideal subalgebras of quantum groups arising from quantum symmetric pairs, which are now viewed as natural generalizations of quantum groups. In this talk, I will present our construction of relative braid group symmetries (associated to the relative Weyl group of a symmetric pair) on i-quantum groups. These new symmetries admit many properties similar to Lusztig's symmetries. Our construction has further led to compatible relative braid group actions on modules. This is joint work with Weiqiang Wang.