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Cohomology of Drinfeld Modular Varieties, Part 1, Geometry, Counting of Points and Local Harmonic Analysis

Cohomology of Drinfeld Modular Varieties, Part 1, Geometry, Counting of Points and Local Harmonic Analysis

Paperback

Series: Cambridge Studies in Advanced Mathematics, Book 41

AlgebraGeneral MathematicsGeometry

ISBN10: 0521172748
ISBN13: 9780521172745
Publisher: Cambridge University Press
Published: Dec 9 2010
Pages: 360
Weight: 1.16
Height: 0.80 Width: 6.00 Depth: 9.00
Language: English
Cohomology of Drinfeld Modular Varieties aims to provide an introduction to both the subject of the title and the Langlands correspondence for function fields. These varieties are the analogs for function fields of Shimura varieties over number fields. This present volume is devoted to the geometry of these varieties and to the local harmonic analysis needed to compute their cohomology. To keep the presentation as accessible as possible, the author considers the simpler case of function rather than number fields; nevertheless, many important features can still be illustrated. It will be welcomed by workers in number theory and representation theory.

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