Main The Local Langlands Conjecture for GL(2)

The Local Langlands Conjecture for GL(2)

,
0 / 0
How much do you like this book?
What’s the quality of the file?
Download the book for quality assessment
What’s the quality of the downloaded files?

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.

Categories:
Year:
2006
Edition:
1
Publisher:
Springer-Verlag Berlin Heidelberg
Language:
english
Pages:
340 / 351
ISBN 10:
3-540-31486-5
ISBN 13:
9783540314868
Series:
Grundlehren der mathematischen Wissenschaften 335
File:
PDF, 3.17 MB
Download (pdf, 3.17 MB)

You may be interested in Powered by Rec2Me

 

Most frequently terms

 
0 comments
 

You can write a book review and share your experiences. Other readers will always be interested in your opinion of the books you've read. Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them.