| 书目名称 | The Local Langlands Conjecture for GL(2) |
| 编辑 | Colin J. Bushnell,Guy Henniart |
| 视频video | |
| 概述 | Contributes an unprededented text to the so-called "Langlands theory".An ambitious research program of already 40 years.Masterly exposition by authors who have contributed significantly to the Langlan |
| 丛书名称 | Grundlehren der mathematischen Wissenschaften |
| 图书封面 |  |
| 描述 | .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 groupsand the structure theory of local fields. It uses only local methods, with no appeal to harmonic analysis on adele groups.. |
| 出版日期 | Book 2006 |
| 关键词 | Local Langlands correspondence; Representation theory; Weil group; finite field; functional equation; smo |
| 版次 | 1 |
| doi | https://doi.org/10.1007/3-540-31511-X |
| isbn_softcover | 978-3-642-06853-9 |
| isbn_ebook | 978-3-540-31511-7Series ISSN 0072-7830 Series E-ISSN 2196-9701 |
| issn_series | 0072-7830 |
| copyright | Springer-Verlag Berlin Heidelberg 2006 |
发表于 2025-3-21 19:18:34
