Local Langlands Conjecture for GL(2)

Name: Local Langlands Conjecture for GL(2)
Brand: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
SKU: 9783540314868
Price: 933.59 RON
Availability: InStock

Autor: Colin J. Bushnell, Guy Henniart

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Legare: Copertă tare

Editura: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

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If F is a non-Archimedean local field, local class field theory can be viewed as giving a canonical...

Informații despre carte

Autor

Colin J. Bushnell, Guy Henniart

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2006

Pagini

340

EAN

9783540314868

ISBN

3540314865

Enbook ID

01561628

Editura

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Greutate

694

Dimensiuni

235 x 164 x 26

Descriere completă

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.

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Local Langlands Conjecture for GL(2)

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