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The Langlands Classification and Irreducible Characters for Real Reductive Groups

The Langlands Classification and Irreducible Characters for Real Reductive Groups

Paperback

Series: Progress in Mathematics, Book 104

General MathematicsGeneral ScienceGeometry

ISBN10: 1461267366
ISBN13: 9781461267362
Publisher: Springer Nature
Published: Oct 10 2012
Pages: 320
Weight: 1.04
Height: 0.70 Width: 6.14 Depth: 9.21
Language: English

This monograph explores the geometry of the local Langlands conjecture. The conjecture predicts a parametrizations of the irreducible representations of a reductive algebraic group over a local field in terms of the complex dual group and the Weil-Deligne group. For p-adic fields, this conjecture has not been proved; but it has been refined to a detailed collection of (conjectural) relationships between p-adic representation theory and geometry on the space of p-adic representation theory and geometry on the space of p-adic Langlands parameters. This book provides and introduction to some modern geometric methods in representation theory. It is addressed to graduate students and research workers in representation theory and in automorphic forms.

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