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Period Spaces for p-divisible Groups - Thomas Zink - Bog - Princeton University Press - Plusbog.dk

Period Spaces for p-divisible Groups - Thomas Zink - Bog - Princeton University Press - Plusbog.dk

In this monograph p -adic period domains are associated to arbitrary reductive groups. Using the concept of rigid-analytic period maps the relation of p -adic period domains to moduli space of p -divisible groups is investigated. In addition, non-archimedean uniformization theorems for general Shimura varieties are established. The exposition includes background material on Grothendieck''s "mysterious functor" (Fontaine theory), on moduli problems of p -divisible groups, on rigid analytic spaces, and on the theory of Shimura varieties, as well as an exposition of some aspects of Drinfelds'' original construction. In addition, the material is illustrated throughout the book with numerous examples.

DKK 908.00
1

p-Adic Methods and Their Applications - - Bog - Oxford University Press - Plusbog.dk

p-Adic Methods and Their Applications - - Bog - Oxford University Press - Plusbog.dk

A number of texts have recently become available which provide good general introductions to p-Adic numbers and p-Adic analysis. However, there is at present a gap between such books and the sophisticated applications in the research literature. The aim of this book is to bridge this gulf by providing a collection of intermediate level articles on various applications of p-Adic techniques throughout mathematics. The idea for producing such a volume was suggested by Oxford University Press in connection with a three day meeting `p-Adic Methods and their Applications'' held at Manchester University in September 1989 and which have received financial support from the London Mathematical Society. Some of these articles grew out of talks given at this conference, others were written by invitation especially for this volume. All contributions were refereed with a particular view to their suitability for inclusion in such a book.

DKK 869.00
1