汇报标题 (Title)：Twisted Yangians and Affine Grassmannian iSlices（扭Yangian与仿射格拉斯曼流形的 i - 切片）
汇报人 (Speaker)：陆康 (南方科技大学)
汇报功夫 (Time)：2026年6月17日 (周三) 15:00
汇报地址 (Place)：校本部GJ303
约请人(Inviter)：张红莲教授
主办部门：理学院数学系
汇报提要：Affine Grassmannian slices admit rich connections with Yangians, Coulomb branches, and nilpotent Slodowy slices. In this talk, I will discuss an i-analogue of this story, obtained by incorporating involutions coming from quasi-split symmetric pairs. After recalling the relationship between shifted Yangians and affine Grassmannian slices, I will introduce shifted twisted Yangians and the corresponding affine Grassmannian islices, defined as fixed point loci under natural Poisson involutions. I will explain how these algebras quantize the associated fixed point varieties and how iGKLO-type representations lead to truncated shifted twisted Yangians. In type AI, the resulting islices can be identified with nilpotent Slodowy slices of classical types B, C, and D, extending the type A picture of Lusztig and Mirkovi?–Vybornov.
