RTG Seminar on Number Theory Seminar

Finite flat group schemes of p-power rank and p-divisible groups over perfect fields are classified by the classical Dieudonn\'e theory, which associates a Dieudonn'e module to any such group scheme. Scholze and Weinstein generalized this classification result to p-divisible groups over mixed characteristic perfectoid base rings. More recently, this was further generalized by Anschutz and Le Bras which allowed more general mixed characteristic base rings, using recent developments in p-adic hodge theory, namely the theory of prismatic cohomology developed by Bhatt and Scholze. In this talk, we will describe a "geometric" way to reconstruct these classification results in terms of cohomology of the classifying stack associated to a finite group scheme or a p-divisible group. Speaker(s): Shubhodip Mondal (UM)