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- FIELD
- Math: HCMC
- DATE
-
Sep 24 (Tue), 2024
- TIME
- 10:30 ~ 12:00
- PLACE
- 8101
- SPEAKER
- Cho, Soojin
- HOST
- Lee, Chul-hee
- INSTITUTE
- 아주대학교
- TITLE
- [HG_A] Permutation module decomposition of the cohomology of a regular semisimple Hessenberg variety
- ABSTRACT
- We consider the module structure of the cohomology of regular semisimple Hessenberg varieties (of type A)
under the symmetric group action.
We use BB(Bialynicki-Birula) basis of the cohomology space to construct permutation module decomposition
of the cohomology for the Hessenberg varieties associated with lollipop graphs and the second degree
cohomology for general cases. This talk is based on the works done with Jaehyun Hong and Eunjeong Lee,
and the ongoing research with JiSun Huh and Seonjeong Park.
- FILE
-