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.
- ISBN13 9780817636340
- Publish Date 1 May 1992
- Publish Status Active
- Publish Country US
- Imprint Birkhauser Boston Inc
- Edition 1992 ed.
- Format Hardcover
- Pages 320
- Language English