Abstract

The aim of this thesis is to classify truncated Barsotti-Tate groups over p-torsion free quasi-syntomic rings via a semilinear category which is a prismatic analogue of the category truncated displays introduced by Lau-Zink. This rests crucially on the classification of p-divisible groups over quasi-syntomic rings due to Anschutz-Le Bras and an argument of Beilinson which was used by Kisin to deduce a similar classification of truncated Barsotti-Tate groups over rings of integers of p-adic fields in terms of certain Breuil-Kisin modules.