Mod-\(p\) cohomology growth in \(p\)-adic analytic towers of 3-manifolds

DOI10.4171/GGD/131zbMath1242.57014MaRDI QIDQ664237

Matthew Emerton, Frank Calegari

Publication date: 29 February 2012

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

zbMATH Keywords

3-manifoldshomologylattices

Mathematics Subject Classification ID

Related Items (10)

Growth of mod-2 homology in higher-rank locally symmetric spaces ⋮ Torsion homology growth in arithmetic groups ⋮ Approximating \(L^2\)-invariants and homology growth ⋮ On 2-systoles of hyperbolic 3-manifolds ⋮ A note on the growth of Betti numbers and ranks of 3-manifold groups ⋮ On the growth of Betti numbers in \(p\)-adic analytic towers ⋮ Bounds for the multiplicities of cohomological automorphic forms on \(\mathrm{GL}_2\) ⋮ Twisted limit formula for torsion and cyclic base change ⋮ On lower bounds for cohomology growth in \(p\)-adic analytic towers ⋮ Mod \(p\) and torsion homology growth in nonpositive curvature

Cites Work

• Unnamed Item
• Detecting large groups.
• Group presentation, p-adic analytic groups and lattices in \(SL_ 2({\mathbb{C}})\)
• Bounds for multiplicities of unitary representations of cohomological type in spaces of cusp forms
• Ring-theoretic properties of Iwasawa algebras: a survey.
• Automorphic forms and rational homology 3-spheres
• Pro-\(p\) groups and towers of rational homology spheres
• \(p\)-adic analytic groups
• Completed cohomology – a survey
• Large groups, property (τ) and the homology growth of subgroups

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