English

Descent identities, Hessenberg varieties, and the Weil conjectures

Combinatorics 2007-05-23 v1

Abstract

The Weil Conjectures are applied to the Hessenberg Varieties to obtain interesting information about the combinatorics of descents in the symmetric group. Combining this with elementary linear algebra leads to elegant proofs of some identities from the theory of descents.

Keywords

Cite

@article{arxiv.math/9712242,
  title  = {Descent identities, Hessenberg varieties, and the Weil conjectures},
  author = {Jason Fulman},
  journal= {arXiv preprint arXiv:math/9712242},
  year   = {2007}
}

Comments

7 pages

R2 v1 2026-07-22T17:57:15.128Z