Modular local Langlands correspondence for GL\(_n\)
type: Item
instance of: scholarly article
zbMATH Open document ID: 1302.22011
author: Colin J. Bushnell
author: Guy Henniart
publication date: 2014-11-14T00:00:00Z
full work available at URL: https://arxiv.org/abs/1107.2266
Mathematics Subject Classification ID: 22E50
zbMATH DE Number: 6369433
MaRDI profile type: Publication
OpenAlex ID: W3105028705
arXiv ID: 1107.2266
DOI: 10.1093/IMRN/RNT063
published in: IMRN. International Mathematics Research Notices
title: Modular local Langlands correspondence for GL\(_n\)
review text: Let \(F\) be a non-Archimedean local field of residual characteristic \(p\) and \(\ell\) be a prime number, \(\ell\neq p\). The authors consider the Langlands correspondence between irreducible, \(n\)-dimensional, smooth representations of the Weil group of \(F\) and irreducible cuspidal representations of \(\mathrm{GL}_ n (F)\). They use an explicit description of the correspondence from an earlier paper to give a straightforward and transparent proof of the fact that it respects the relationship of congruence modulo \(\ell\). They indicate a parallel application to the Jacquet-Langlands correspondence.
reviewed by: L. N. Vaserstein
description: scientific article; zbMATH DE number 6369433