The Local Langlands Conjecture for GL(2)

The Local Langlands Conjecture for GL(2)
Author :
Publisher : Springer Science & Business Media
Total Pages : 352
Release :
ISBN-10 : 9783540315117
ISBN-13 : 354031511X
Rating : 4/5 (11X Downloads)

Book Synopsis The Local Langlands Conjecture for GL(2) by : Colin J. Bushnell

Download or read book The Local Langlands Conjecture for GL(2) written by Colin J. Bushnell and published by Springer Science & Business Media. This book was released on 2006-08-29 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Local Langlands Conjecture for GL(2) contributes an unprecedented text to the so-called Langlands theory. It is an ambitious research program of already 40 years and 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.


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Let F be a non-Archimedean local field. Let \mathcal{W}_{F} be the Weil group of F and \mathcal{P}_{F} the wild inertia subgroup of \mathcal{W}_{F}. Let \wideha