Téléchargez le livre : The Local Langlands Conjecture for GL(2)

The Local Langlands Conjecture for GL(2)

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Éditeur :

Springer


Collection :

Grundlehren der mathematischen Wissenschaften

Paru le : 2006-08-29

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Description
If F is a non-Archimedean local field, local class field theory can be viewed as giving a canonical bijection between the characters of the multiplicative group GL(1,F) of F and the characters of the Weil group of F. If n is a positive integer, the n-dimensional analogue of a character of the multiplicative group of F is an irreducible smooth representation of the general linear group GL(n,F). The local Langlands Conjecture for GL(n) postulates the existence of a canonical bijection between such objects and n-dimensional representations of the Weil group, generalizing class field theory. This conjecture has now been proved for all F and n, but the arguments are long and rely on many deep ideas and techniques. This book gives a complete and self-contained proof of the Langlands conjecture in the case n=2. It is aimed at graduate students and at researchers in related fields. It presupposes no special knowledge beyond the beginnings of the representation theory of finite groupsand the structure theory of local fields. It uses only local methods, with no appeal to harmonic analysis on adele groups.
Pages
340 pages
Collection
Grundlehren der mathematischen Wissenschaften
Parution
2006-08-29
Marque
Springer
EAN papier
9783540314868
EAN PDF
9783540315117
Informations sur l'ebook
Nombre pages copiables
3
Nombre pages imprimables
34
Taille du fichier
4127 Ko
Prix
168,79 €

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