Langlands parameters for epipelagic representations of \(\mathrm{GL}_n\)

DOI10.1007/s00208-013-0962-xzbMath1304.22021arXiv1302.4304OpenAlexW2596878554MaRDI QIDQ2439297

Guy Henniart, Colin J. Bushnell

Publication date: 14 March 2014

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.4304

zbMATH Keywords

local Langlands correspondencecuspidal representationSwan conductorlocal class field theoryepipelagic representation

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items

On the Langlands parameter of a simple supercuspidal representation: odd orthogonal groups, Exterior square gamma factors for cuspidal representations of \(\operatorname{GL}_n\): simple supercuspidal representations, On a converse theorem for \({\text{G}}_2\) over finite fields, Good reduction of affinoids in the Lubin-Tate curve in even equal characteristic. I., Some results on simple supercuspidal representations of \(\operatorname{GL}_{n}(F)\), Local Galois representations of Swan conductor one, On the sharpness of the bound for the Local Converse Theorem of 𝑝-adic 𝐺𝐿_{𝑝𝑟𝑖𝑚𝑒}, Epipelagic representations and invariant theory, On the Jacquet Conjecture on the local converse problem for 𝑝-adic 𝐺𝐿_{𝑁}, Local Langlands correspondence and ramification for Carayol representations, The Langlands parameter of a simple supercuspidal representation: symplectic groups, Affinoids in the Lubin-Tate perfectoid space and simple supercuspidal representations. II: Wild case, Local Jacquet-Langlands correspondences for simple supercuspidal representations, Simple supercuspidals and the Langlands correspondence, Tame multiplicity and conductor for local Galois representations

Cites Work

• Arithmetic invariants of discrete Langlands parameters
• On the Langlands-Kazhdan correspondence.
• Sur la variation, par torsion, des constantes locales d'équations fonctionnelles de fonctions L
• Représentations du groupe de Weil d'un corps local
• The Langlands conjecture for \(\mathrm{GL}_2\) of a local field
• Exercices dyadiques
• Icosahedral Galois representations
• Classification of the primitive representations of the Galois group of local fields
• Local tame lifting for \(GL(N)\). I: Simple characters
• Gauss sums and p-adic division algebras
• Zeta functions of simple algebras
• To an effective local Langlands Corrspondence
• Rankin-Selberg Convolutions
• The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129)
• Non-Abelian Congruence Gauss Sums and _p -Adic Simple Algebras
• Primitive Linear Groups Containing a Normal Nilpotent Subgroup Larger Than the Centre of the Group
• The essentially tame local Langlands correspondence, III: the general case
• Fourier Transforms of Intertwining Operators and Plancherel Measures for GL(n)
• Hereditary orders, Gauss sums and supercuspidal representations of GLN.
• The Admissible Dual of SL(N ) II
• Local Rankin-Selberg convolutions for 𝐺𝐿_{𝑛}: Explicit conductor formula
• Local Tame Lifting for GL(n) IV: Simple Characters and Base Change
• The essentially tame local Langlands correspondence, I
• Intertwining of Simple Characters in GL(n)
• Epipelagic representations and invariant theory
• The essentially tame local Langlands correspondence, II: totally ramified representations
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