The fundamental lemma of Jacquet and Ye in positive characteristic

DOI10.1215/S0012-7094-99-09615-1zbMath1047.11517OpenAlexW1533365270MaRDI QIDQ1974888

Bao Châu Ngô

Publication date: 27 March 2000

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

Full work available at URL: https://doi.org/10.1215/s0012-7094-99-09615-1

Mathematics Subject Classification ID

Étale and other Grothendieck topologies and (co)homologies (14F20) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (10)

Relative trace formulae toward Bessel and Fourier-Jacobi periods on unitary groups ⋮ The metapletic fundamental lemma of Jacquet and Mao in positive characteristic ⋮ Kloosterman identities over a quadratic extension II ⋮ On representations distinguished by unitary groups ⋮ Faisceaux pervers, homomorphisme de changement de base et lemme fondamental de jacquet et ye ⋮ Exponential sums and \(\ell\)-adic cohomology: A survey. ⋮ Smooth transfer of Kloosterman integrals ⋮ Smooth transfer of Kloosterman integrals ⋮ The geometric nature of the fundamental lemma ⋮ Le lemme fondamental métaplectique de Jacquet et Mao en égales caractéristiques

Cites Work

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• Théoremes de Bertini et applications
• Poincaré series on \(\mathrm{GL}(r)\) and Kloosterman sums
• Poincaré series for GL(n): Fourier expansion, Kloosterman sums, and algebreo-geometric estimates
• Fourier transformat, constants of the functional equations and Weil conjecture
• Relative Kloosterman integrals for GL(3)

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