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Book Cover
E-book
Author Dat, Jean-François

Title Period domains over finite and p-adic fields / Jean-François Dat, Sascha Orlik, Michael Rapoport
Published Cambridge ; New York : Cambridge University Press, ©2010

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Description 1 online resource (xxii, 372 pages) : illustrations
Series Cambridge tracts in mathematics ; 183
Cambridge tracts in mathematics ; 183.
Contents pt. 1. Period domains for GLn over finite fields -- pt. 2. Period domains for reductive groups over finite fields -- pt. 3. Period domains over p-adic fields
Summary 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
Bibliography Includes bibliographical references (pages 358-368) and index
Notes Print version record
Subject Geometry, Algebraic.
Symmetric domains.
Finite fields (Algebra)
p-adic fields.
MATHEMATICS -- Geometry -- Algebraic.
Symmetric domains
Finite fields (Algebra)
Geometry, Algebraic
p-adic fields
Galois-Feld
p-adischer Körper
Form Electronic book
Author Orlik, Sascha, 1971-
Rapoport, M., 1948-
ISBN 9780511918285
0511918283
9780511914515
0511914512
9780511762482
0511762488