Cohomology of congruence subgroups of $ {SL}_4(\mathbb {Z})$. III

DOI10.1090/S0025-5718-10-02331-8zbMath1222.11069arXiv0903.3201MaRDI QIDQ3584852

Mark McConnell, Paul E. Gunnells, Avner Ash

Publication date: 30 August 2010

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.3201

zbMATH Keywords

Siegel modular formscohomology of arithmetic groupsEisenstein cohomology

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) Cohomology of arithmetic groups (11F75)

Related Items (13)

Galois representations attached to tensor products of arithmetic cohomology ⋮ 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 ⋮ Mod 2 homology for \(\mathrm{GL}(4)\) and Galois representations ⋮ Paramodular cusp forms ⋮ On the top-dimensional cohomology groups of congruence subgroups of \(\operatorname{SL}(n,\mathbb{Z})\) ⋮ Antisymmetric paramodular forms of weight 3 ⋮ On the Cohomology of Congruence Subgroups of GL₃ over the Eisenstein Integers ⋮ 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 ⋮ Lectures on Computing Cohomology of Arithmetic Groups ⋮ Arithmetic Aspects of Bianchi Groups ⋮ Computing Modular Forms for GL2 over Certain Number Fields

Uses Software

• Macaulay2
• Magma
• Matlab
• CSparse

Cites Work

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• On efficient sparse integer matrix Smith normal form computations
• The theory of Jacobi forms
• Cohomology of congruence subgroups of \(\text{SL}(4,\mathbb Z)\). II
• Galois representations attached to mod \(p\) cohomology of \(GL(n,\mathbb{Z})\)
• Recognizing badly presented \(Z\)-modules
• The Magma algebra system. I: The user language
• 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)
• Siegel Modular Forms and Their Applications
• Direct Methods for Sparse Linear Systems
• Solving sparse linear equations over finite fields
• Euclid’s algorithm and the Lanczos method over finite fields
• Heeke Eigenforms in the Cohomology of Congruence Subgroups of SL(3, Z)
• Arithmetical lifting and its applications
• Paramodular cusp forms
• Reduction of Huge, Sparse Matrices over Finite Fields Via Created Catastrophes

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