Fixed-point statistics from spectral measures on tensor envelope categories
Representation Theory
2025-05-29 v3 Category Theory
Number Theory
Probability
Abstract
We prove some old and new convergence statements for fixed-points statistics using tensor envelope categories, such as the Deligne--Knop category of representations of the "symmetric group" for an indeterminate~. We also discuss some arithmetic speculations related to Chebotarev's density theorem.
Cite
@article{arxiv.2304.05844,
title = {Fixed-point statistics from spectral measures on tensor envelope categories},
author = {Arthur Forey and Javier Fresán and Emmanuel Kowalski},
journal= {arXiv preprint arXiv:2304.05844},
year = {2025}
}
Comments
v3; 20 pages; minor changes after referee report