Wed, January 22, 2020
4:15 pm - 5:15 pm
Math Tower 154
Title: Geometric Schur Duality ABC
Speaker: Yiqiang Li - SUNY Buffalo
Abstract: Schur duality serves as a bridge relating the representation theories of symmetric groups and general linear groups. The duality and its quantization admit a geometric realization via flag varieties of type A. We shall present this construction in this talk and its classical analogues which relate isotropic flag varieties with the coideal subalgeba, and its quantization, in a quasi-split symmetric pair of a general linear Lie algebra. This is a joint work with H. Bao, J. Kujawa and W. Wang.