The local Langlands conjecture for GL(2)
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 multip...
Gorde:
| Egile Nagusiak: | , |
|---|---|
| Formatua: | Livre numérique |
| Hizkuntza: | Anglais |
| Argitaratua: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Edizioa: | 1st ed. 2006. |
| Saila: | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics
335 |
| Gaiak: | |
| Sarrera elektronikoa: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Oharra: |
Description d'après consultation du 28 avril 2011 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • The Local Langlands Conjecture for GL(2), Texte imprimé, 9783540819936 • The Local Langlands Conjecture for GL(2), Texte imprimé, 9783642068539 • The local Langlands conjecture for GL(2), Colin J. Bushnell, Guy Henniart, 2006, Berlin, Springer, 1 vol. (XI-347 p.), Grundlehren der mathematischen Wissenschaften, 978-3-540-31486-8 |
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| 084 | |a 22E50. 2000 | ||
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| 100 | 1 | |a Bushnell, Colin John, |d 1947-2021. | |
| 245 | 1 | 0 | |a The local Langlands conjecture for GL(2) |c Colin J. Bushnell, Guy Henniart. |
| 250 | |a 1st ed. 2006. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics |v 335 |x 2196-9701 | |
| 500 | |a Description d'après consultation du 28 avril 2011 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. p. [339]-343. Index | ||
| 505 | 1 | |a Smooth Representations Finite Fields Induced Representations of Linear Groups Cuspidal Representations Parametrization of Tame Cuspidals Functional Equation Representations of Weil Groups The Langlands Correspondence The Weil Representation Arithmetic of Dyadic Fields Ordinary Representations The Dyadic Langlands Correspondence The Jacquet-Langlands Correspondence. | |
| 505 | 0 | |a Smooth Representations -- Finite Fields -- Induced Representations of Linear Groups -- Cuspidal Representations -- Parametrization of Tame Cuspidals -- Functional Equation -- Representations of Weil Groups -- The Langlands Correspondence -- The Weil Representation -- Arithmetic of Dyadic Fields -- Ordinary Representations -- The Dyadic Langlands Correspondence -- The Jacquet-Langlands Correspondence | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 groups and the structure theory of local fields. It uses only local methods, with no appeal to harmonic analysis on adele groups | ||
| 650 | |a Théorie des nombres algébriques | ||
| 650 | |a Fonctions L | ||
| 650 | |a Représentations de groupes | ||
| 700 | 1 | |a Henniart, Guy, |d 1953- |4 aut | |
| 776 | 0 | |t The Local Langlands Conjecture for GL(2) |b Texte imprimé |z 9783540819936 | |
| 776 | 0 | |t The Local Langlands Conjecture for GL(2) |b Texte imprimé |z 9783642068539 | |
| 776 | 0 | |0 108952312 |t The local Langlands conjecture for GL(2) |f Colin J. Bushnell, Guy Henniart |d 2006 |c Berlin |n Springer |p 1 vol. (XI-347 p.) |s Grundlehren der mathematischen Wissenschaften |z 978-3-540-31486-8 | |
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