Period Domains over Finite and p-adic Fields

Download or read book Period Domains over Finite and p-adic Fields written by Jean-François Dat and published by Cambridge University Press. This book was released on 2010-07-08 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.