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

Moshe Adrian; Baiying Liu

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arXiv · 1310.2585

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

Moshe Adrian·Baiying Liu

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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.

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BibTeX RIS

Moshe Adrian, Baiying Liu. 2014-01-21. The Local Langlands Correspondence for Simple Supercuspidal Representations of GL_n(F). https://arxiv.org/abs/1310.2585

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