Weights in Serre's conjecture for \(\text{GL}_n\) via the Bernstein-Gelfand-Gelfand complex

DOI10.1016/j.jnt.2008.03.008zbMath1222.11070OpenAlexW2036603240WikidataQ122949689 ScholiaQ122949689MaRDI QIDQ531782

Michael M. Schein

Publication date: 20 April 2011

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2008.03.008

zbMATH Keywords

Galois representationscrystalline cohomologySerre's conjecture

Mathematics Subject Classification ID

Galois representations (11F80) Arithmetic aspects of modular and Shimura varieties (11G18) (p)-adic cohomology, crystalline cohomology (14F30)

Related Items (1)

Weight cycling and Serre-type conjectures for unitary groups

Cites Work

• Regular models of certain Shimura varieties
• Semi-stable reduction and decomposition of de Rham complexes with coefficients
• 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
• The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151)
• Points on Some Shimura Varieties Over Finite Fields
• Notes on Crystalline Cohomology. (MN-21)
• Construction de représentations p-adiques semi-stables
• Travaux de Shimura
• Galois representations modulo p and cohomology of Hilbert modular varieties
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