Volume versus rank of lattices

DOI10.1515/CRELLE.2011.085zbMath1235.22014arXiv1102.3574OpenAlexW2070131214MaRDI QIDQ3105806

Tsachik Gelander

Publication date: 9 January 2012

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.3574

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40)

Related Items (13)

Growth of mod-2 homology in higher-rank locally symmetric spaces ⋮ Counting commensurability classes of hyperbolic manifolds ⋮ Pseudo-Anosov stretch factors and homology of mapping tori ⋮ On the volume of orbifold quotients of symmetric spaces ⋮ Geodesics and nodal sets of Laplace eigenfunctions on hyperbolic manifolds ⋮ On a curious problem and what it lead to ⋮ Counting arithmetic lattices and surfaces ⋮ Point processes, cost, and the growth of rank in locally compact groups ⋮ Betti numbers of finite volume orbifolds ⋮ On the number of finite subgroups of a lattice ⋮ Subgroup growth of right‐angled Artin and Coxeter groups ⋮ On the asymptotic number of generators of high rank arithmetic lattices ⋮ Homology and homotopy complexity in negative curvature

Cites Work

• Counting arithmetic lattices and surfaces
• Counting hyperbolic manifolds
• Homotopy type and volume of locally symmetric manifolds
• Free quotients and the first Betti number of some hyperbolic manifolds
• Counting maximal arithmetic subgroups. Appendix by Jordan Ellenberg and Akshay Venkatesh
• Connection of the dual space of a group with the structure of its closed subgroups
• Fundamental domains for lattices in (R-)rank 1 semisimple Lie groups
• On Finite Index Subgroups of Linear Groups

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