On the sharpness of the bound for the Local Converse Theorem of 𝑝-adic 𝐺𝐿_{𝑝𝑟𝑖𝑚𝑒}

DOI10.1090/BPROC/32zbMath1448.11210OpenAlexW2768398021MaRDI QIDQ4604728

Baiying Liu, Shaun Stevens, Moshe Adrian, Geo Kam-Fai Tam

Publication date: 5 March 2018

Published in: Proceedings of the American Mathematical Society, Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/bproc/32

zbMATH Keywords

sharpnessJacquet's conjecturelocal converse problem

Mathematics Subject Classification ID

(p)-adic theory, local fields (11F85) Representations of Lie and linear algebraic groups over local fields (22E50) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55) (K)-theory of local fields (11S70)

Related Items (5)

\(n\times 1\) local gamma factors and Gauss sums ⋮ 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 ⋮ On the local converse theorem and the descent theorem in families ⋮ CHARACTERIZING THE MOD- LOCAL LANGLANDS CORRESPONDENCE BY NILPOTENT GAMMA FACTORS

Cites Work

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• The \(n\times (n-2)\) local converse theorem for \(\text{GL}(n)\) over a \(p\)-adic field
• On the Jacquet Conjecture on the local converse problem for 𝑝-adic 𝐺𝐿_{𝑁}
• Rankin-Selberg Convolutions
• The essentially tame local Langlands correspondence, III: the general case
• Fourier Transforms of Intertwining Operators and Plancherel Measures for GL(n)
• Local Constants and the Tame Langlands Correspondence
• Converse theorems for GLn, II
• The essentially tame local Langlands correspondence, I
• On the local converse theorem for p-adic GLn
• Number theory. Transl. from the 3rd German edition, edited and with a preface by Horst Günter Zimmer.

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