Factorization statistics and the twisted Grothendieck-Lefschetz formula
Number Theory
2018-04-02 v2
Abstract
We announce recent results on a connection between factorization statistics of polynomials over a finite field and the structure of the cohomology of configurations in as a representation of the symmetric group. This connection parallels a result of Church, Ellenberg, and Farb relating factorization statistics of squarefree polynomials and the cohomology of configurations in .
Cite
@article{arxiv.1712.00071,
title = {Factorization statistics and the twisted Grothendieck-Lefschetz formula},
author = {Trevor Hyde},
journal= {arXiv preprint arXiv:1712.00071},
year = {2018}
}
Comments
Extended abstract for arXiv:1802.00305. To appear in Proceedings of 30th Conference on Formal Power Series and Algebraic Combinatorics (2018)