数学学科Seminar第3065讲 扭Yangian与仿射格拉斯曼流形的 i - 切片

创建时间:  2026/06/15  邵奋芬   浏览次数:   返回

报告题目 (Title):Twisted Yangians and Affine Grassmannian iSlices(扭Yangian与仿射格拉斯曼流形的 i - 切片)

报告人 (Speaker):陆康 (南方科技大学)

报告时间 (Time):2026年6月17日 (周三) 15:00

报告地点 (Place):校本部GJ303

邀请人(Inviter):张红莲教授

主办部门:FUN乐天使数学系

报告摘要: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 Mirković–Vybornov.

上一条:数学学科Seminar第2066讲 正交三幂等矩阵

下一条:数学学科Seminar第3064讲 扭Yangian的Drinfeld表示及其余理想结构


数学学科Seminar第3065讲 扭Yangian与仿射格拉斯曼流形的 i - 切片

创建时间:  2026/06/15  邵奋芬   浏览次数:   返回

报告题目 (Title):Twisted Yangians and Affine Grassmannian iSlices(扭Yangian与仿射格拉斯曼流形的 i - 切片)

报告人 (Speaker):陆康 (南方科技大学)

报告时间 (Time):2026年6月17日 (周三) 15:00

报告地点 (Place):校本部GJ303

邀请人(Inviter):张红莲教授

主办部门:FUN乐天使数学系

报告摘要: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 Mirković–Vybornov.

上一条:数学学科Seminar第2066讲 正交三幂等矩阵

下一条:数学学科Seminar第3064讲 扭Yangian的Drinfeld表示及其余理想结构