The local langlands conjecture for GL(2)
Author(s)
Bibliographic Information
The local langlands conjecture for GL(2)
（Die Grundlehren der mathematischen Wissenschaften, v. 335）
Springer, c2006
- : pbk.
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Note
Includes bibliographical references (p. [339]-343) and index
Description and Table of Contents
Description
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.
Table of Contents
Smooth Representations.- Finite Fields.- Induced Representations of Linear Groups.- Cuspidal Representations.- Parametrization of Tame Cuspidals.- Functional Equation.- Representations of Weil Groups.- The Langlands Correspondence.- The Weil Representation.- Arithmetic of Dyadic Fields.- Ordinary Representations.- The Dyadic Langlands Correspondence.- The Jacquet-Langlands Correspondence.
by "Nielsen BookData"