On the local Langlands correspondence mod \(\ell\)

DOI10.1006/jnth.2000.2574zbMath0974.11021arXivmath/0011273OpenAlexW2047342283MaRDI QIDQ5935877

Chandrashekhar B. Khare

Publication date: 1 July 2001

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

Full work available at URL: https://arxiv.org/abs/math/0011273

zbMATH Keywords

Shimura varietiesGalois representationsLanglands correspondence

Mathematics Subject Classification ID

Galois representations (11F80) Langlands-Weil conjectures, nonabelian class field theory (11S37)

Related Items (1)

Around the Langlands program

Cites Work

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• Sur les représentations galoisiennes modulo \(\ell\) attachées aux formes modulaires. (On Galois representations modulo \(\ell\) attached to modular forms)
• On limit multiplicities of discrete series representations in spaces of automorphic forms
• Représentations galoisiennes associées aux représentations automorphes autoduales de \(GL(n)\). (Galois representations associated with self-dual automorphic representations of \(GL(n)\))
• Non-optimal levels of \(\text{mod }l\) modular representations
• On the cohomology of Kottwitz's arithmetic varieties
• Supercuspidal representations in the cohomology of Drinfel'd upper half spaces; elaboration of Carayol's program
• A simple proof of Langlands conjectures for \(\text{GL}_n\) on a \(p\)-adic field
• The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151)
• Formes modulaires de poids $1$
• La conjecture de Langlands locale pour GL(n,F) modulo quand ≠p, >n
• Sur les représentations $l$-adiques associées aux formes modulaires de Hilbert
• Semisimple Langlands correspondence for \(\operatorname {GL}(n,F)\bmod \ell\neq p\)

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