Singularities and transfer
type: Item
instance of: scholarly article
title: Singularities and transfer
zbMATH Open document ID: 1317.11054
author: Robert P. Langlands
published in: Annales Mathématiques du Québec
publication date: 2014-09-30T00:00:00Z
review text: In a previous paper of the author, in collaboration with \textit{E. Frenkel} and \textit{B. C. Ngô} [Ann. Sci. Math. Qué. 34, No. 2, 199--243 (2010; Zbl 1267.11113)], a program to solve the Langlands functoriality problem is provided. The Langlands functoriality problem suggests a precise relation between automorphic representations of different groups and their \(L\)-groups. The paper under review illustrates Frenkel-Ngô-Langlands' program in the example of the group \(\mathrm{SL}(2)\) for which the definition and the construction of a stable transfer is accomplished carefully and successfully. Finally, the author points out the difficulties to be expected for more general groups, and provides hints to handle some of these difficulties. The text is written in french, and contains a short abstract in english.
reviewed by: Salah Mehdi
Mathematics Subject Classification ID: 11F72
Mathematics Subject Classification ID: 11F70
zbMATH DE Number: 6350058
zbMATH Keywords: transfer
zbMATH Keywords: singularities
zbMATH Keywords: endoscopy
zbMATH Keywords: functoriality
MaRDI profile type: Publication
full work available at URL: s40316-013-0008-5
OpenAlex ID: W2003045266
cites work: Q3111437
cites work: Q5512252
cites work: Automorphic forms on GL (2)
cites work: Representation theory of semisimple groups. An overview based on examples. With a new preface by the author.
cites work: Stable trace formula: Cuspidal tempered terms
cites work: L-Indistinguishability For SL (2)
cites work: CHARACTERS OF THE DISCRETE SERIES OF REPRESENTATIONS OF SL(2) OVER A LOCAL FIELD
cites work: A theorem on semi-simple \(p\)-adic groups
cites work: Local ε-Factors and Characters of GL(2)
cites work: Harmonic analysis on real reductive groups
DOI: 10.1007/S40316-013-0008-5
description: scientific article; zbMATH DE number 6350058