Mod \(\ell\) representations of arithmetic fundamental groups. I: An analog of Serre's conjecture for function fields

DOI10.1215/S0012-7094-05-12925-8zbMath1078.11036arXivmath/0312489OpenAlexW1984495663WikidataQ123122098 ScholiaQ123122098MaRDI QIDQ2572639

Gebhard Böckle, Chandrashekhar B. Khare

Publication date: 4 November 2005

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0312489

zbMATH Keywords

Galois representationarithmetic fundamental groupautomorphic representationfunction field of positive characteristic

Mathematics Subject Classification ID

Coverings of curves, fundamental group (14H30) Galois representations (11F80) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Galois cohomology (11R34)

Related Items (3)

On the finiteness of mod \(p\) Galois representations of a local field ⋮ Lifting Galois representations over arbitrary number fields ⋮ Serre's conjecture and its consequences

Cites Work

• On de Jong's conjecture
• On the modular representations of degree two of \(\text{Gal}({\overline {\mathbb Q}}/{\mathbb Q})\)
• Cohomology of finite groups of Lie type. I
• Lifting mod \(p\) representations to characteristics \(p^{2}\).
• On a conjecture of Kashiwara.
• Drinfeld shtukas and Langlands correspondence.
• Deforming Galois representations and the conjectures of Serre and Fontaine-Mazur.
• Two-Dimensional l-Adic Representations of the Fundamental Group of a Curve Over a Finite Field and Automorphic Forms on GL(2)
• On icosahedral Artin representations, II
• Mod $\ell$ representations of arithmetic fundamental groups II: A conjecture of A. J. de Jong
• A conjecture on arithmetic fundamental groups
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