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  3. Period Domains over Finite and p-adic Fields
  • Cited by 19
Publisher:
Cambridge University Press
Online publication date:
December 2010
Print publication year:
2010
Online ISBN:
9780511762482
DOI:
https://doi.org/10.1017/CBO9780511762482
Subjects:
Mathematics (general), Mathematics, Number Theory, Geometry and Topology
Series:
Cambridge Tracts in Mathematics (183)
Information

Book description

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.

Reviews

'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.'

Source: Zentralblatt MATH

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