The Langlands parameter of a simple supercuspidal representation: symplectic groups

Moshe Adrian, Eyal Kaplan

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

Let π be a simple supercuspidal representation of the symplectic group Sp 2 l(F) , over a p-adic field F. In this work, we explicitly compute the Rankin–Selberg γ-factor of rank-1 twists of π. We then completely determine the Langlands parameter of π, if p≠ 2. In the case that F= Q2, we give a conjectural description of the functorial lift of π, with which, using a recent work of Bushnell and Henniart, one can obtain its Langlands parameter.

Original languageEnglish
Pages (from-to)589-619
Number of pages31
JournalRamanujan Journal
Volume50
Issue number3
DOIs
StatePublished - 1 Dec 2019

Bibliographical note

Publisher Copyright:
© 2018, Springer Science+Business Media, LLC, part of Springer Nature.

Keywords

  • Local Langlands conjecture
  • Rankin–Selberg method
  • Simple supercuspidal

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