


Period Spaces for pdivisible Groups (AM141) 
In this monograph padic period domains are associated to arbitrary reductive groups. Using the concept of rigidanalytic period maps the relation of padic period domains to moduli space of pdivisible groups is investigated. In addition, nonarchimedean uniformization theorems for general Shimura varieties are established. The exposition includes background material on Grothendieck's "mysterious functor" (Fontaine theory), on moduli problems of pdivisible 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.
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