Displays and $p$-divisible groups

Abstract

The theory of displays is a Dieudonné theory for formal $p$-divisible groups which is an equivalence of categories over an arbitrary $p$-adic ring. Over a more restricted class of rings one obtains a classification of all $p$-divisible groups. We explain basic ideas and some recent results of this theory. The last paragraph ameliorates the discussion of isogenies of displays found in the literature.