Benjamini--Schramm convergence of arithmetic locally symmetric spaces
Number Theory
2026-02-03 v1 Group Theory
Geometric Topology
Abstract
We prove that the thin parts of arithmetically defined locally symmetric space take up a negligible part of their volume and deduce asymptotic results on their Betti numbers.
Cite
@article{arxiv.2602.01784,
title = {Benjamini--Schramm convergence of arithmetic locally symmetric spaces},
author = {Mikołaj Frączyk and Sebastian Hurtado and Jean Raimbault},
journal= {arXiv preprint arXiv:2602.01784},
year = {2026}
}
Comments
Split from v1 of arXiv:2202.13619