The Local Langlands Conjecture for GL(2) (Grundlehren der mathematischen Wissenschaften) - Info and Reading Options
By Colin J. Bushnell
"The Local Langlands Conjecture for GL(2) (Grundlehren der mathematischen Wissenschaften)" was published by Springer in September 14, 2006, it has 354 pages and the language of the book is English.
“The Local Langlands Conjecture for GL(2) (Grundlehren der mathematischen Wissenschaften)” Metadata:
- Title: ➤ The Local Langlands Conjecture for GL(2) (Grundlehren der mathematischen Wissenschaften)
- Author: Colin J. Bushnell
- Language: English
- Number of Pages: 354
- Publisher: Springer
- Publish Date: September 14, 2006
“The Local Langlands Conjecture for GL(2) (Grundlehren der mathematischen Wissenschaften)” Subjects and Themes:
- Subjects: ➤ L-functions - Algebraic number theory - Representations of groups - Nombres algébriques, Théorie des - Darstellungstheorie - Représentations de groupes - P-adischer Körper - Representatie (wiskunde) - Lokale Langlands-Vermutung - Lie-groepen - Fonctions L. - Number theory - Mathematics - Group theory - Topological Groups
Edition Specifications:
- Format: Hardcover
- Weight: 1.5 pounds
- Dimensions: 9.4 x 6.1 x 1 inches
Edition Identifiers:
- The Open Library ID: OL9056243M - OL16945555W
- Online Computer Library Center (OCLC) ID: 70886058
- Library of Congress Control Number (LCCN): 2006924564
- ISBN-13: 9783540314868
- ISBN-10: 3540314865
- All ISBNs: 3540314865 - 9783540314868
AI-generated Review of “The Local Langlands Conjecture for GL(2) (Grundlehren der mathematischen Wissenschaften)”:
Snippets and Summary:
We work with a non-Archimedean local field F which, we always assume, has finite residue field of characteristic p.
"The Local Langlands Conjecture for GL(2) (Grundlehren der mathematischen Wissenschaften)" Description:
The Open Library:
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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