Galois representations and Hecke operators associated with the mod $p$ cohomology of $GL(1,\mathbb {Z})$ and $GL(2,\mathbb {Z})$

DOI10.1090/S0002-9939-97-04085-9zbMath1057.11504OpenAlexW1582072019MaRDI QIDQ4372360

Avner Ash

Publication date: 11 December 1997

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-04085-9

Mathematics Subject Classification ID

Galois representations (11F80) Hecke-Petersson operators, differential operators (several variables) (11F60) Cohomology of arithmetic groups (11F75)

Related Items

Computing Heeke Eigenvalues Below the Cohomologieal Dimension, Modular representations of \(\text{GL}(3,\mathbb{F}_p)\), symmetric squares, and mod-\(p\) cohomology of \(\text{GL}(3,\mathbb{Z})\), Galois representations and torsion in the coherent cohomology of Hilbert modular varieties, 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, Hecke Operators, and the mod-p Cohomology of GL(3, Z) with Twisted Coefficients

Cites Work

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• On the modular representations of degree two of \(\text{Gal}({\overline {\mathbb Q}}/{\mathbb Q})\)
• Galois representations and Hecke operators associated with the \(\text{mod-}p\) cohomology of \(GL(m(p-1),\mathbb{Z})\)
• Galois representations attached to mod \(p\) cohomology of \(GL(n,\mathbb{Z})\)
• Formes modulaires de poids $1$
• Experimental Indications of Three-dimensional Galois Representations from the Cohomology of SL(3, Z)