On the growth of torsion in the cohomology of arithmetic groups

DOI10.1007/s00208-014-1014-xzbMath1318.11072arXiv1302.0742OpenAlexW2074872688MaRDI QIDQ2249468

Jonathan Pfaff, Werner Müller

Publication date: 1 July 2014

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.0742

zbMATH Keywords

cohomologylocal systemsarithmetic group

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Classical groups (11E57) Cohomology of arithmetic groups (11F75)

Related Items (12)

Torsion homology growth in arithmetic groups ⋮ Cheeger-Müller theorem on manifolds with cusps ⋮ Analytic torsion and R-torsion of Witt representations on manifolds with cusps ⋮ Analytic torsion of arithmetic quotients of the symmetric space \(\mathrm{SL} (n,\mathbb{R})/ \mathrm{SO}(n)\) ⋮ Analytic torsion and Reidemeister torsion of hyperbolic manifolds with cusps ⋮ A GLUING FORMULA FOR THE ANALYTIC TORSION ON HYPERBOLIC MANIFOLDS WITH CUSPS ⋮ Exponential growth of torsion in the cohomology of arithmetic hyperbolic manifolds ⋮ Functoriality, Smith theory, and the Brauer homomorphism ⋮ The torsion in symmetric powers on congruence subgroups of Bianchi groups ⋮ Asymptotic equivariant real analytic torsions for compact locally symmetric spaces ⋮ Resolvent, heat kernel, and torsion under degeneration to fibered cusps ⋮ Analytic torsion for arithmetic locally symmetric manifolds and approximation of \(L^2\)-torsion

Cites Work

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• Analytic torsion and \(L^2\)-torsion of compact locally symmetric manifolds
• The Brauer-Hasse-Noether theorem in historical perspective
• Arithmetic subgroups of algebraic groups
• Adèles and algebraic groups. (Appendix 1: The case of the group \(G_2\), by M. Demazure. Appendix 2: A short survey of subsequent research on Tamagawa numbers, by T. Ono)
• On the first Betti number of a constant negatively curved manifold
• On the torsion in the cohomology of arithmetic hyperbolic 3-manifolds
• Compact Clifford-Klein forms of symmetric spaces
• Geometric cycles, arithmetic groups and their cohomology
• Reidemeister torsion in knot theory
• The asymptotic growth of torsion homology for arithmetic groups
• Analytic Torsion and R-Torsion for Unimodular Representations
• Représentations linéaires irréductibles d'un groupe réductif sur un corps quelconque.

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