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Period Domains over Finite and p-adic Fields

Michael Rapoport author Jean-François Dat author Sascha Orlik author

Format:Hardback

Publisher:Cambridge University Press

Published:8th Jul '10

Currently unavailable, and unfortunately no date known when it will be back

Period Domains over Finite and p-adic Fields cover

A systematic exposition of the basics of period domains. Suitable for advanced graduate students.

This systematic exposition of the basics of period domains is a pedagogical introduction accessible to any graduate student with a basic knowledge in algebraic geometry and algebraic groups. The authors provide numerous worked examples, remarks on open questions, historical context and references to the literature.This book is, on the one hand, a pedagogical introduction to the formalism of slopes, of semi-stability and of related concepts in the simplest possible context. It is therefore accessible to any graduate student with a basic knowledge in algebraic geometry and algebraic groups. On the other hand, the book also provides a thorough introduction to the basics of period domains, as they appear in the geometric approach to local Langlands correspondences and in the recent conjectural p-adic local Langlands program. The authors provide numerous worked examples and establish many connections to topics in the general area of algebraic groups over finite and local fields. In addition, the end of each section includes remarks on open questions, historical context and references to the literature.

'This monograph is a systematic treatise on period domains over finite and over p-adic fields. It presents the theory as it has developed over the past fifteen years … The book should serve as the basis of future research in this area.' Zentralblatt MATH

ISBN: 9780521197694

Dimensions: 229mm x 152mm x 25mm

Weight: 700g

396 pages