TY - GEN AU - Dat, Jean-Francois AU - Orlik, Sascha AU - Rapoport, Michael TI - Period domains over finite and p-adic fields SN - 9780521197694 U1 - 512.74 PY - 2010/// CY - Cambridge PB - Cambridge University Press KW - p-adic fields KW - Finite fields--Algebra KW - Algebraic geometry KW - Symmetric domains KW - Vector space N1 - Includes index and references N2 - 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. https://www.cambridge.org/core/books/period-domains-over-finite-and-padic-fields/A16137C27711D13349ABAE20C10B9CBA#fndtn-information ER -