Lecture Series on Representation Theory
정세화(QSMS)
129동 309호
0
399
05.06 14:03
| 구분 | 표현론 |
|---|---|
| 일정 | 2026-06-08 15:00 ~ 16:30 |
| 강연자 | Jaehyun Hong (IBS, 복소기하연구단) |
| 기타 | |
| 담당교수 | 권재훈 |
Lecture Series 2
강연 시각: 15시 ~16시 30분
강연 주제 : Schubert varieties, Lusztig varieties, and Hessenberg varieties
강연자: Jaehyun Hong (IBS, 복소기하연구단)
Lecture 1. 06.08 (Mon) 15:00~16:30 Hessenberg varieties
Abstract: Let $G$ be a simple algebraic group and $B$ be a Borel subgroup of $G$.
Hessenberg varieties are subvarieties of the flag variety $G/B$ parametrized by elements in the Lie algebra of $G$.
The monodromy action on the cohomology of regular semisimple Hessenberg varieties factors through the Weyl group, and various problems in combinatorics and representation theory can be transformed into problems in geometry and topology.
Examples include chromatic quasisymmetric functions of the unit interval graphs.
Lusztig varieties are subvarieties of the flag variety $G/B$ parametrized by elements in $G$, introduced in 1985 by Lusztig to develop a representation theory of reductive groups, especially of finite groups of Lie type.
Their origins differ, but recent progress shows that, in the context of the character theory of the Hecke algebra, they play a similar role. The goal of this lecture series is to understand their relationship.
