The asymptotic growth of torsion homology for arithmetic groups

From MaRDI portal
Publication:4918374

DOI10.1017/S1474748012000667zbMath1266.22013arXiv1004.1083OpenAlexW2963260686WikidataQ126088626 ScholiaQ126088626MaRDI QIDQ4918374

Nicolas Bergeron, Akshay Venkatesh

Publication date: 24 April 2013

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.1083



Related Items

On the Iwasawa invariants for links and Kida’s formula, The direct image of a flat fibration with complex fibers, Residual equidistribution of modular symbols and cohomology classes for quotients of hyperbolic 𝑛-space, Torsion homology growth in arithmetic groups, General Serre weight conjectures, Geometry of the smallest 1-form Laplacian eigenvalue on hyperbolic manifolds, Approximating \(L^2\)-invariants and homology growth, Perfectoid Shimura varieties, THE EQUIVARIANT CHEEGER–MÜLLER THEOREM ON LOCALLY SYMMETRIC SPACES, A Cheeger-Müller theorem for manifolds with wedge singularities, Twisted \(L^2\)-torsion on the character variety, Growth of homology torsion in finite coverings and hyperbolic volume, Growth of regulators in finite Abelian coverings, Analytic torsion and R-torsion of Witt representations on manifolds with cusps, The profinite completions of knot groups determine the Alexander polynomials, Ruelle zeta functions of hyperbolic manifolds and Reidemeister torsion, On the automorphic induction for radical \(p\)-extensions and some other functorial operations \(\pmod p\), Some Open Problems About Aspherical Closed Manifolds, Stable isoperimetric ratios and the Hodge Laplacian of hyperbolic manifolds, On the spectral density function of the Laplacian of a graph, Elliptic curves and modularity, Torsions of 3-dimensional small covers, Analytic torsion of arithmetic quotients of the symmetric space \(\mathrm{SL} (n,\mathbb{R})/ \mathrm{SO}(n)\), On torsion in the cohomology of locally symmetric varieties, Asymptotics of Automorphic Spectra and the Trace Formula, Aspects of higher-abelian gauge theories at zero and finite temperature: topological Casimir effect, duality and Polyakov loops, On a curious problem and what it lead to, Torsion homology growth for noncongruence subgroups of Bianchi groups, On growth of homology torsion in amenable groups, Survey on L2‐invariants and 3‐manifolds, Determinants of Laplacians on random hyperbolic surfaces, Toeplitz operators and the full asymptotic torsion forms, Modularity of Galois representations and Langlands functoriality, Surface automorphisms and finite covers, Analytic torsion and Reidemeister torsion of hyperbolic manifolds with cusps, On the torsion in the cohomology of arithmetic hyperbolic 3-manifolds, A GLUING FORMULA FOR THE ANALYTIC TORSION ON HYPERBOLIC MANIFOLDS WITH CUSPS, On the growth of Betti numbers of locally symmetric spaces, Exponential growth of torsion in abelian coverings, ASYMPTOTIC TORSION AND TOEPLITZ OPERATORS, On compact hyperbolic manifolds of Euler characteristic two, The analytic torsion and its asymptotic behaviour for sequences of hyperbolic manifolds of finite volume, Exponential growth of homological torsion for towers of congruence subgroups of Bianchi groups, Hecke stability and weight 1 modular forms, Stable presentation length of 3-manifold groups, Toeplitz operators, analytic torsion, and the hypoelliptic Laplacian, On the growth of torsion in the cohomology of arithmetic groups, The Seiberg-Witten equations and the length spectrum of hyperbolic three-manifolds, On the Integral Cohomology of Bianchi Groups, Hypoelliptic Laplacian and twisted trace formula, Injectivity radii of hyperbolic integer homology 3-spheres, Twisted limit formula for torsion and cyclic base change, Exponential growth of torsion in the cohomology of arithmetic hyperbolic manifolds, Torsion homology growth and cycle complexity of arithmetic manifolds, Torsion homology of arithmetic lattices and \(K_2\) of imaginary fields, Functoriality, Smith theory, and the Brauer homomorphism, -adic Mahler measure and -covers of links, The torsion in symmetric powers on congruence subgroups of Bianchi groups, Asymptotic equivariant real analytic torsions for compact locally symmetric spaces, Producing geometric deformations of orthogonal and symplectic Galois representations, Analytic, Reidemeister and homological torsion for congruence three-manifolds, Congruence Link Complements—A 3-Dimensional Rademacher Conjecture, Mod \(p\) and torsion homology growth in nonpositive curvature, APPROXIMATION OF -ANALYTIC TORSION FOR ARITHMETIC QUOTIENTS OF THE SYMMETRIC SPACE, ON THE GROWTH OF TORSION IN THE COHOMOLOGY OF ARITHMETIC GROUPS, Torsion homology and regulators of isospectral manifolds, An \(L^2\)-Cheeger Müller theorem on compact manifolds with boundary, Resolvent, heat kernel, and torsion under degeneration to fibered cusps, Arithmetic Aspects of Bianchi Groups, Homology and homotopy complexity in negative curvature, Hecke operators in \(KK\)-theory and the \(K\)-homology of Bianchi groups, On Bhargava’s Heuristics for GL2(𝔽p)-Number Fields and the Number of Elliptic Curves of Bounded Conductor, Asymptotics of analytic torsion for hyperbolic three-manifolds, Analytic torsion for arithmetic locally symmetric manifolds and approximation of \(L^2\)-torsion, Analytic Torsion, Regulators and Arithmetic Hyperbolic Manifolds, Computing arithmetic Kleinian groups



Cites Work