The Local Langlands Correspondence for Simple Supercuspidal Representations of GL_n(F)

Moshe Adrian; Baiying Liu

The Local Langlands Correspondence for Simple Supercuspidal Representations of GL_n(F)

Representation Theory 2014-01-23 v4 Number Theory

Authors: Moshe Adrian , Baiying Liu

Abstract

Let F be a non-archimedean local field of characteristic zero with residual characteristic p. In this paper, we present a simple proof and construction of the local Langlands correspondence for simple supercuspidal representations of GL_n(F), when p does not divide n. As an application, we prove Jacquet's conjecture on the local converse problem for GL_n(F) in the case of simple supercuspidal representations, for arbitrary p.

Keywords

local langlands correspondence simple supercuspidal representations gl_n(f) non-archimedean local fields jacquet's conjecture local converse problem

Cite

@article{arxiv.1310.2585,
  title  = {The Local Langlands Correspondence for Simple Supercuspidal Representations of GL_n(F)},
  author = {Moshe Adrian and Baiying Liu},
  journal= {arXiv preprint arXiv:1310.2585},
  year   = {2014}
}

Comments

35 pages. Minor changes to introduction

The Local Langlands Correspondence for Simple Supercuspidal Representations of GL_n(F)

Abstract

Keywords

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