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arXiv:1310.2585 [math.RT]AbstractReferencesReviewsResources

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

Moshe Adrian, Baiying Liu

Published 2013-10-09, updated 2014-01-21Version 4

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.

Comments: 35 pages. Minor changes to introduction
Categories: math.RT, math.NT
Subjects: 11S37, 22E50
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