A survey of recent developments on Hessenberg varieties
Algebraic Geometry
2020-03-13 v2 Combinatorics
Representation Theory
Abstract
This article surveys recent developments on Hessenberg varieties, emphasizing some of the rich connections of their cohomology and combinatorics. In particular, we will see how hyperplane arrangements, representations of symmetric groups, and Stanley's chromatic symmetric functions are related to the cohomology rings of Hessenberg varieties. We also include several other topics on Hessenberg varieties to cover recent developments.
Keywords
Cite
@article{arxiv.1904.11155,
title = {A survey of recent developments on Hessenberg varieties},
author = {Hiraku Abe and Tatsuya Horiguchi},
journal= {arXiv preprint arXiv:1904.11155},
year = {2020}
}
Comments
24 pages, 14 figures