The Local Langlands Conjecture for GL(2) (Grundlehren der mathematischen Wissenschaften)

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Last edited by MARC Bot
7 hours ago | History

The Local Langlands Conjecture for GL(2) (Grundlehren der mathematischen Wissenschaften)

1 edition
  • 0 Ratings
  • 0 Want to read
  • 0 Currently reading
  • 0 Have read

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.

Publish Date
Publisher
Springer
Language
English
Pages
354

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Cover of: The Local Langlands Conjecture for GL(2) (Grundlehren der mathematischen Wissenschaften)
The Local Langlands Conjecture for GL(2) (Grundlehren der mathematischen Wissenschaften)
September 14, 2006, Springer
Hardcover in English - 1 edition

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Book Details


First Sentence

"We work with a non-Archimedean local field F which, we always assume, has finite residue field of characteristic p."

Classifications

Library of Congress
QA176 .B87 2006, QA241-247.5

The Physical Object

Format
Hardcover
Number of pages
354
Dimensions
9.4 x 6.1 x 1 inches
Weight
1.5 pounds

ID Numbers

Open Library
OL9056243M
Internet Archive
locallanglandsco00bush_662
ISBN 10
3540314865
ISBN 13
9783540314868
LCCN
2006924564
OCLC/WorldCat
70886058
Library Thing
4695972
Goodreads
356382

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December 30, 2022 Edited by MARC Bot import existing book
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February 25, 2022 Edited by ImportBot import existing book
April 30, 2008 Created by an anonymous user Imported from amazon.com record