Author Description

Product 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. Review "This book gives a very detailed and pedagogical introduction to the theory of period domains over finite and p-adic fields. It should prove indispensable for every non-expert or graduate student who wants to understand current research in arithmetic geometry or number theory using this theory." Volker J. Heiermann, Mathematical Reviews Book Description 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. About the Author Jean-Francois Dat is a Professor at the Université de Paris VII.