ON THE GROWTH OF TORSION IN THE COHOMOLOGY OF ARITHMETIC GROUPS

DOI10.1017/S1474748018000117zbMath1464.11054arXiv1608.05858OpenAlexW2964143598MaRDI QIDQ5221321

Avner Ash, Mark McConnell, Dan Yasaki, Paul E. Gunnells

Publication date: 25 March 2020

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

Full work available at URL: https://arxiv.org/abs/1608.05858

zbMATH Keywords

Galois representationscohomology of arithmetic groupstorsion in cohomology

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Galois representations (11F80) Computational number theory (11Y99) Cohomology of arithmetic groups (11F75)

Related Items (1)

APPROXIMATION OF -ANALYTIC TORSION FOR ARITHMETIC QUOTIENTS OF THE SYMMETRIC SPACE

Uses Software

• PFPK

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Resolutions of the Steinberg module for \(\mathrm{GL}(n)\)
• Mod 2 homology for \(\mathrm{GL}(4)\) and Galois representations
• Torsion in the cohomology of congruence subgroups of \(\text{SL}(4, \mathbb Z)\) and Galois representations
• Some computations of the cohomology of \(\text{GL}_N(\mathbb{Z})\) and the \(K\)-theory of \(\mathbb{Z}\)
• Beiträge zu einer Reduktionstheorie in Positivitätsbereichen. I
• On torsion in the cohomology of locally symmetric varieties
• Galois representations attached to mod \(p\) cohomology of \(GL(n,\mathbb{Z})\)
• Parity of mod \(p\) Betti numbers
• Cohomology of congruence subgroups of \(\text{SL}_4(\mathbb Z)\)
• Corners and arithmetic groups (Appendice: Arrondissement des varietes a coins par A. Douady et L. Herault)
• Perfect forms, \(K\)-theory and the cohomology of modular groups
• Exponential growth of homological torsion for towers of congruence subgroups of Bianchi groups
• Harmonic analysis in weighted L2-spaces
• Arithmetic Applications of the Hyperbolic Lattice Point Theorem
• MODULAR FORMS AND ELLIPTIC CURVES OVER THE CUBIC FIELD OF DISCRIMINANT –23
• On the Integral Cohomology of Bianchi Groups
• The asymptotic growth of torsion homology for arithmetic groups
• Experimental Indications of Three-dimensional Galois Representations from the Cohomology of SL(3, Z)
• Modular Forms and Elliptic Curves over the Field of Fifth Roots of Unity
• A torsion Jacquet-Langlands correspondence
• Mass Formulae for Extensions of Local Fields, and Conjectures on the Density of Number Field Discriminants
• On the cohomology of linear groups over imaginary quadratic fields

This page was built for publication: ON THE GROWTH OF TORSION IN THE COHOMOLOGY OF ARITHMETIC GROUPS