Cohomology of congruence subgroups of \(\text{SL}_4(\mathbb Z)\)

DOI10.1006/jnth.2001.2730zbMath1006.11026arXivmath/0003219OpenAlexW2800963910MaRDI QIDQ1609542

Paul E. Gunnells, Avner Ash, Mark McConnell

Publication date: 15 August 2002

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0003219

zbMATH Keywords

Eisenstein seriescongruence subgroupholomorphic modular formsBorel-Serre compactification\(p\)-adic Galois representationHecke actioncomputational testscuspidal cohomology

Mathematics Subject Classification ID

Galois representations (11F80) Cohomology of arithmetic groups (11F75)

Related Items

Galois representations attached to tensor products of arithmetic cohomology ⋮ Modular Forms and Elliptic Curves over the Field of Fifth Roots of Unity ⋮ Cohomology of congruence subgroups of \(\mathrm{SL}_3(\mathbb{Z})\), Steinberg modules, and real quadratic fields ⋮ Resolutions of the Steinberg module for \(\mathrm{GL}(n)\) ⋮ Torsion in the cohomology of congruence subgroups of \(\text{SL}(4, \mathbb Z)\) and Galois representations ⋮ Integral cohomology of certain Picard modular surfaces ⋮ On the integral homology of \(\text{PSL}_4(\mathbb Z)\) and other arithmetic groups ⋮ Mod 2 homology for \(\mathrm{GL}(4)\) and Galois representations ⋮ Hecke Operators and Hilbert Modular Forms ⋮ Geometric families of 4-dimensional Galois representations with generically large images ⋮ MODULAR FORMS AND ELLIPTIC CURVES OVER THE CUBIC FIELD OF DISCRIMINANT –23 ⋮ Cohomology of congruence subgroups of $ {SL}_4(\mathbb {Z})$. III ⋮ On the Steinberg module of Chevalley groups. ⋮ LLL reduction and a conjecture of Gunnells ⋮ On the top-dimensional cohomology groups of congruence subgroups of \(\operatorname{SL}(n,\mathbb{Z})\) ⋮ On the Cohomology of Congruence Subgroups of GL₃ over the Eisenstein Integers ⋮ ON THE GROWTH OF TORSION IN THE COHOMOLOGY OF ARITHMETIC GROUPS ⋮ Stability in the high-dimensional cohomology of congruence subgroups ⋮ Cohomology with twisted one-dimensional coefficients for congruence subgroups of \(\operatorname{SL}_4(\mathbb{Z})\) and Galois representations ⋮ Cohomology of congruence subgroups of \(\text{SL}(4,\mathbb Z)\). II ⋮ Lectures on Computing Cohomology of Arithmetic Groups ⋮ Computing Modular Forms for GL2 over Certain Number Fields

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