TY  - BOOK
AU  - Dat,Jean-François
AU  - Orlik,Sascha
AU  - Rapoport,M.
TI  - Period domains over finite and p-adic fields
T2  - Cambridge tracts in mathematics
SN  - 9780511762482 (ebook)
AV  - QA564 .D37 2010
U1  - 516.35 22
PY  - 2010///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Geometry, Algebraic
KW  - Symmetric domains
KW  - Finite fields (Algebra)
KW  - p-adic fields
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015); 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
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
UR  - https://doi.org/10.1017/CBO9780511762482
ER  -