Title: Affine flag variety of type D and quantum symmetric pair
Speaker: Zhaobing Fan（Harbin Engineering University）
Time: 12.10 (Wednesday), 9:30-10:30
Venue: Room B201-1, Mingde Building
Abstract:In this talk, I'll introduce Schur algebra and its Lusztig subalgebra associated to affine flag variety of type D. We show that the i-quantum group corresponding to subalgebra of the Lusztig algebra forms quantum symmetric pairs together with U_q(\widehat{sl}_n). We further construct monomial and canonical bases of its idempotented version and prove the positivity properties of the canonical basis with respect to multiplication and the bilinear pairing. This is a join work with Quanyong Chen.
