Shenzhen University School of Mathematical Sciences  

Liyuan Scholars Colloquium No. 130

Lecture Title: Affine Flag Variety of Type D and Quantum Symmetric Pair

Speaker: Fan Zhaobing (Professor, Harbin Engineering University)  

Date & Time: 2:30–3:30 PM, May 16, 2025  

Venue: Classroom 3, Huixing Building, Yuehai Campus, Shenzhen University

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.

Biography: Fan Zhaobing is the Dean, Professor, and Ph.D. Supervisor of the School of Mathematics at Harbin Engineering University. His research focuses on geometric representation theory and quantum groups. He has published numerous papers in international renowned journals such as Memoris of AMS，Comm. Math. Physics，Transection of AMS，IMRN. He has presided over multiple projects, including General Projects of the National Natural Science Foundation of China and the Distinguished Young Scholars Project of Heilongjiang Province.  

All faculty and students are welcome to attend!

School of Mathematical Sciences  

May 13, 2025