Une preuve simple des conjectures de Langlands pour GL(n) sur un corps p-adique

2000/02/01 by Guy Henniart · 53 citations
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models

paper · doi:10.1007/s002220050012

Citations

• On Euler Products and the Classification of Automorphic Representations I
• Fourier Transforms of Intertwining Operators and Plancherel Measures for GL(n)

Cited by

• The Local Langlands Correspondence for GL n over p-adic fields
• Holomorphy of adjoint L-functions for GL(n): n≤ 4
• On the complementary Arthur representations and unitary dual for p-adic classical groups
• Cuspidality of symmetric powers with applications
• On Galois representations and Hilbert-Siegel modular forms
• Arthur's multiplicity formula for even orthogonal and unitary groups
• Modularity of solvable Artin representations of GO(4)-type
• Stability of symmetric cube gamma factors for GL(2)
• Epsilon dichotomy via root numbers of intertwining periods
• Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups
• Contragredient representations and characterizing the local Langlands\n correspondence
• On twisted exterior and symmetric square γ-factors
• On unitarity of some representatations of classical p-adic groups I
• Algebraic cycles on Hilbert modular fourfolds and poles of L-functions
• A cuspidality criterion for the functorial product on GL(2) x GL(3), with a cohomological application
• Nonarchimedean components of non-endoscopic automorphic representations for quasisplit Sp(N) and O(N)
• On the p-adic pro-étale cohomology of Drinfeld symmetric spaces
• Towards a p-adic Langlands programme
• Image des opérateurs d'entrelacements normalisés et pôles des séries d'Eisenstein
• Geometric structure and the local Langlands conjecture
• Existence of non-abelian local constants, and their properties
• Triple product L-functions and the Ramanujan conjecture
• On the Local Langlands Functoriality Transfer From SO(5) to GL(4)
• Tempered automorphic representations of the unitary group
• On the symmetric powers of cusp forms on GL (2) of icosahedral type
• Factorization of periods, construction of automorphic motives and Deligne's conjecture over CM-fields
• Second order average estimates on local data of cusp forms
• A combinatorial solution to Mœglin's parametrization of Arthur packets for p-adic quasisplit Sp(N) and O(N)
• Symmetry of Arthur parameters under Aubert involution
• Algebraicity of the central critical values of twisted triple product L-functions
• The Hiraga-Ichino-Ikeda conjecture on formal degrees for classical groups
• Recent Advances in the Langlands Program
• On the exceptional zeros of Rankin-Selberg L-functions
• Holomorphie des opérateurs d'entrelacement normalisés à l'aide des paramètres d'Arthur
• Siegel modular forms of genus 2 attached to elliptic curves
• Algebraicity of critical values of adjoint L-functions for \rm GSp₄
• Component groups for non-supercuspidal L-parameters for p-adic SL₃
• The automorphic discrete spectrum of Mp₄
• Paquets d'Arthur discrets pour un groupe classique p-adique
• Comparaison des paramètres de Langlands et des exposants à l'intérieur d'un paquet d'Arthur
• The Langlands functoriality conjecture in the bisemialgebra framework
• Doubling constructions: Global functoriality for non-generic cuspidal representations
• Comparison of the depths on both sides of the local Langlands\n correspondence for Weil-restricted groups (with appendix by Jessica Fintzen)
• The SL(2)-type and Base Change
• Gamma factors for Asai representations of \rm GL₂
• Modulo ℓ-representations of p-adic groups SL_n(F)
• Unitarizability in generalized rank three for classical p-adic groups
• Unitarizability in Corank Three for Classical p-adic Groups
• Existence of Ramanujan primes for GL(3)
• Arthur Parameters and Cuspidal Automorphic Modules of Classical Groups
• Arthur packets for quasisplit GSp(2n) and GO(2n) over a p-adic field
• The archimedean theory of the Exterior Square L-functions over Q
• Jacquet modules of Tate cohomology and base change lifting