Benjamini--Schramm convergence of arithmetic locally symmetric spaces
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2026
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866914301000810496 |
|---|---|
| author | Frączyk, Mikołaj Hurtado, Sebastian Raimbault, Jean |
| author_facet | Frączyk, Mikołaj Hurtado, Sebastian Raimbault, Jean |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_01784 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Benjamini--Schramm convergence of arithmetic locally symmetric spaces Frączyk, Mikołaj Hurtado, Sebastian Raimbault, Jean Number Theory Group Theory Geometric Topology 22E40, 11F06, 11F75, 57Q15 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. |
| title | Benjamini--Schramm convergence of arithmetic locally symmetric spaces |
| topic | Number Theory Group Theory Geometric Topology 22E40, 11F06, 11F75, 57Q15 |
| url | https://arxiv.org/abs/2602.01784 |