Growth of mod-2 homology in higher-rank locally symmetric spaces

DOI10.1215/00127094-2021-0108zbMath1506.57023arXiv1801.09283OpenAlexW4226140665MaRDI QIDQ2119891

Mikołaj Frączyk

Publication date: 30 March 2022

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.09283

zbMATH Keywords

locally symmetric spacesBenjamini-Schramm convergencehigher-rank groupsmod-\(p\) Betti numbers

Mathematics Subject Classification ID

Cohomology of groups (20J06) Homology and cohomology of homogeneous spaces of Lie groups (57T15)

Related Items

On a curious problem and what it lead to ⋮ Point processes, cost, and the growth of rank in locally compact groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the growth of Betti numbers in \(p\)-adic analytic towers
• Mod-\(p\) cohomology growth in \(p\)-adic analytic towers of 3-manifolds
• Rank gradient, cost of groups and the rank versus Heegaard genus problem
• Approximating \(L^ 2\)-invariants by their finite-dimensional analogues
• Symmetric patterns of geodesics and automorphisms of surface groups
• Invariant random subgroups over non-Archimedean local fields
• Rank, combinatorial cost, and homology torsion growth in higher rank lattices
• Expanders, rank and graphs of groups
• Homotopy type and volume of locally symmetric manifolds
• Cost of equivalence relations and groups
• On the growth of \(L^2\)-invariants for sequences of lattices in Lie groups
• Percolation in the hyperbolic plane
• Completed cohomology – a survey
• The limit of $\mathbb{F}_{p}$-Betti numbers of a tower of finite covers with amenable fundamental groups
• Volume versus rank of lattices
• On the cost of generating an equivalence relation