Benjamini--Schramm convergence of arithmetic locally symmetric spaces

Mikołaj Frączyk; Sebastián Hurtado; Jean Raimbault

doi:10.48550/arxiv.2602.01784

Benjamini--Schramm convergence of arithmetic locally symmetric spaces

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Mikołaj Frączyk, Sebastián Hurtado, Jean Raimbault

DOI: 10.48550/arxiv.2602.01784

Cited by: 0

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.

Fields of Study & Subjects

Advanced Algebra and Geometry Algebraic Geometry and Number Theory Analytic Number Theory Research

Publication details

Journal / source: arXiv (Cornell University)
Publication date: 2 February 2026
Document type: Preprint