000 01696 a2200253 4500
008 220820b |||||||| |||| 00| 0 eng d
020 _a9780521197694
082 _a512.74
_bDAT
100 _aDat, Jean-Francois
245 _aPeriod domains over finite and p-adic fields
260 _bCambridge University Press,
_c2010.
_aCambridge:
300 _axxii, 372p.;
_bhbk;
_c24cm.
440 _aCambridge tracts in mathematics no. 183
504 _aIncludes index and references
520 _aThis 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
650 _ap-adic fields
650 _aFinite fields--Algebra
650 _aAlgebraic geometry
650 _aSymmetric domains
650 _aVector space
700 _aOrlik, Sascha
_eCo-author
700 _aRapoport, Michael
_eCo-author
942 _2ddc
_cTD
999 _c56658
_d56658