On the local Langlands conjecture for \(\text{GL}_n\)

DOI10.5802/jtnb.313zbMath1048.11093OpenAlexW2318393262WikidataQ122987355 ScholiaQ122987355MaRDI QIDQ1826293

Guy Henniart

Publication date: 5 August 2004

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_2001__13_1_167_0

Mathematics Subject Classification ID

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

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Cites Work

• On the local Langlands conjecture for GL(n): the cyclic case
• Représentations galoisiennes associées aux représentations automorphes autoduales de \(GL(n)\). (Galois representations associated with self-dual automorphic representations of \(GL(n)\))
• On the \(\lambda\)-adic representations associated to some simple Shimura varieties
• The local Langlands conjecture for \(GL(n)\) over a \(p\)-adic field, \(n<p\)
• Characterization of the local Langlands conjecture by \(\varepsilon\)-factors for pairs
• On the cohomology of Kottwitz's arithmetic varieties
• Supercuspidal representations in the cohomology of Drinfel'd upper half spaces; elaboration of Carayol's program
• Automorphic induction for \(GL(n)\) (over local nonarchimedean fields)
• 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)
• Rankin-Selberg Convolutions
• Fourier Transforms of Intertwining Operators and Plancherel Measures for GL(n)
• La conjecture de Langlands locale pour $GL(3)$
• La conjecture de Langlands locale numérique pour ${\rm GL}(n)$
• Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120)
• Correspondance de Langlands locale pour GLn et conducteurs de paires
• Global lifting of local extensions: Some embedding problems
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