报告题目 (Title)：Braid group actions on the Poisson homogeneous spaces arising from quantum symmetric pairs
（Braid群源于量子对称对在泊松齐次空间的作用）
报告人 (Speaker)：张伟楠 博士（香港大学）
报告时间 (Time)：2025年6月24日（周二）15:30
报告地点 (Place)：校本部GJ303
邀请人(Inviter)：黄红娣
主办部门：理学院数学系
报告摘要：The fundamental work of De Concini-Kac-Procesi shows that one
can recover the dual Poisson Lie group G∗ by taking a suitable
semi-classical limit on quantum groups. The quantum symmetric pairs are
quantization of symmetric pairs,and they involve coideal subalgebras of
quantum groups, called i-quantum groups.
Recently,
Song obtained a class of (dual) Poisson homogeneous K⊥\G∗spaces by
taking suitable semi-classical limits on i-quantum groups. In this talk,
using the braid group actions on i-quantum groups, we will construct
braid group actions and polynomial generators for the coordinate algebra
O(K⊥\G∗). This is joint with Jinfeng Song (National University of
Singapore).
