Highly reducible Galois representations attached to the homology of $\mathrm {GL}(n,\mathbb {Z})$

DOI10.1090/S0002-9939-2015-12559-2zbMath1325.11050MaRDI QIDQ5264163

Darrin Doud, Avner Ash

Publication date: 20 July 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

characterGalois representationHecke operatorSerre's conjecture

Mathematics Subject Classification ID

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

Related Items (2)

Galois representations attached to tensor products of arithmetic cohomology ⋮ Sums of Galois representations and arithmetic homology

Cites Work

• Serre's modularity conjecture: the level one case
• Serre's modularity conjecture. I
• Serre's modularity conjecture. II
• On the modular representations of degree two of \(\text{Gal}({\overline {\mathbb Q}}/{\mathbb Q})\)
• The modular symbol and continued fractions in higher dimensions
• An analogue of Serre's conjecture for Galois representations and Hecke eigenclasses in the \(\operatorname{mod} p\) cohomology of \(\text{GL}(n,\mathbb{Z})\)
• Galois representations with conjectural connections to arithmetic cohomology
• The weight in a Serre-type conjecture for tame \(n\)-dimensional Galois representations
• Relaxation of strict parity for reducible Galois representations attached to the homology of GL(3, ℤ)
• Reducible Galois Representations and the Homology of GL(3, ℤ)
• Direct Sums of ModpCharacters of Gal and the Homology ofGL(n, ℤ)

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