The Local Langlands Conjecture for GL(2)

Dekorationsartikel gehören nicht zum Leistungsumfang.

Sprache: Englisch

181,89 €*

inkl. MwSt.

Versandkostenfrei per Post / DHL

Aktuell nicht verfügbar

Kategorien:

Der Artikel ist nicht in deutscher Sprache verfasst.
Die Sprache der Produktbeschreibung und Details kann in Englisch angegeben sein. Sollten Sie Verständnisprobleme haben, wenden Sie sich gerne an uns.

Beschreibung

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.

Zusammenfassung

Contributes an unprededented text to the so-called "Langlands theory"

An ambitious research program of already 40 years

Masterly exposition by authors who have contributed significantly to the Langlands program

Includes supplementary material: [...]

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2006
Fachbereich:	Arithmetik & Algebra
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	xii 340 S.
ISBN-13:	9783540314868
ISBN-10:	3540314865
Sprache:	Englisch
Herstellernummer:	11604440
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Bushnell, Colin J. Henniart, Guy
Hersteller:	Springer-Verlag GmbH Springer Berlin Heidelberg
Maße:	241 x 160 x 25 mm
Von/Mit:	Colin J. Bushnell (u. a.)
Erscheinungsdatum:	02.08.2006
Gewicht:	0,694 kg

Artikel-ID: 102243581