Arithmetic applications of the Langlands program
type: Item
instance of: scholarly article
title: Arithmetic applications of the Langlands program
zbMATH Open document ID: 1203.11040
author: Michael Harris
published in: Japanese Journal of Mathematics. 3rd Series
publication date: 2010-06-23T00:00:00Z
review text: This is a survey on the Langlands functoriality conjectures and their applications to the arithmetic of representations of Galois groups of number fields. The author considers the stable trace formula, the Fundamental Lemma, endoscopy, Shimura varieties, reciprocity, and the Sato-Tate conjecture for elliptic modular forms, proved by himself and collaborators.
reviewed by: Florin Nicolae
Mathematics Subject Classification ID: 11F70
Mathematics Subject Classification ID: 11-02
Mathematics Subject Classification ID: 11F72
Mathematics Subject Classification ID: 11F80
Mathematics Subject Classification ID: 11G18
Mathematics Subject Classification ID: 11R39
Mathematics Subject Classification ID: 11S37
zbMATH DE Number: 5724895
zbMATH Keywords: Langlands program
zbMATH Keywords: stable trace formula
zbMATH Keywords: fundamental Lemma
zbMATH Keywords: Galois representations
zbMATH Keywords: Sato-Tate conjecture
MaRDI profile type: Publication
full work available at URL: s11537-010-0945-6
OpenAlex ID: W2147059337
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Arithmetic applications of the Langlands program (DOI)
DOI: 10.1007/S11537-010-0945-6

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