Torsion homology growth in arithmetic groups

DOI10.4171/176-1/12zbMath1422.11124OpenAlexW4249400819MaRDI QIDQ1620851

Nicolas Bergeron

Publication date: 14 November 2018

Full work available at URL: https://doi.org/10.4171/176-1/12

zbMATH Keywords

torsionanalytic torsion$L$-functionshomology of arithmetic groupsmod-$p$ modular forms

Mathematics Subject Classification ID

Modular and Shimura varieties (14G35) Cohomology of arithmetic groups (11F75)

Related Items (4)

Torsion homology growth for noncongruence subgroups of Bianchi groups ⋮ Congruence Link Complements—A 3-Dimensional Rademacher Conjecture ⋮ Mod \(p\) and torsion homology growth in nonpositive curvature ⋮ Analytic Torsion, Regulators and Arithmetic Hyperbolic Manifolds

Cites Work

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• Homological stability for completed homology
• Volume and homology growth of aspherical manifolds
• On the growth of Betti numbers in \(p\)-adic analytic towers
• Homology torsion growth and Mahler measure
• Approximating \(L^2\)-invariants by their classical counterparts
• Integral foliated simplicial volume of aspherical manifolds
• Toeplitz operators and asymptotic analytic torsion
• Mod-\(p\) cohomology growth in \(p\)-adic analytic towers of 3-manifolds
• Mahler measure, links and homology growth
• Rank gradient, cost of groups and the rank versus Heegaard genus problem
• Torsion homology growth and cycle complexity of arithmetic manifolds
• On torsion in the cohomology of locally symmetric varieties
• Equivariant torsion and base change
• The stable homology of congruence subgroups
• Bounds for multiplicities of unitary representations of cohomological type in spaces of cusp forms
• Heat kernels on covering spaces and topological invariants
• Analytic torsion and R-torsion of Riemannian manifolds
• Analytic torsion and the heat equation
• Number variance for arithmetic hyperbolic surfaces
• The virtual Haken conjecture: Experiments and examples
• Norms on the cohomology of hyperbolic 3-manifolds
• Rank, combinatorial cost, and homology torsion growth in higher rank lattices
• Polynomial representation growth and the congruence subgroup problem.
• An analogue of Serre's conjecture for Galois representations and Hecke eigenclasses in the \(\operatorname{mod} p\) cohomology of \(\text{GL}(n,\mathbb{Z})\)
• Homotopy type and volume of locally symmetric manifolds
• On the torsion in the cohomology of arithmetic hyperbolic 3-manifolds
• Cost of equivalence relations and groups
• Twisted limit formula for torsion and cyclic base change
• On the growth of torsion in the cohomology of arithmetic groups
• Injectivity radii of hyperbolic integer homology 3-spheres
• Virtual homological torsion of closed hyperbolic 3-manifolds
• On the growth of \(L^2\)-invariants for sequences of lattices in Lie groups
• The combinatoral cost
• Automorphic forms and rational homology 3-spheres
• Torsion homology of arithmetic lattices and \(K_2\) of imaginary fields
• Solution of the congruence subgroup problem for \(\text{SL}_ n\) \((n\geq 3)\) and \(\text{Sp}_{2n}\) \((n\geq 2)\)
• Completed cohomology – a survey
• ON THE TORSION HOMOLOGY OF NON-ARITHMETIC HYPERBOLIC TETRAHEDRAL GROUPS
• On Ihara’s lemma for Hilbert modular varieties
• On the Integral Cohomology of Bianchi Groups
• The asymptotic growth of torsion homology for arithmetic groups
• Perfect forms and the Vandiver conjecture
• Knots Whose Branched Cyclic Coverings have Periodic Homology
• Functoriality, Smith theory, and the Brauer homomorphism

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