I will first recall Grothendieck's notion of n-truncated Barsotti-Tate group. Such groups form an algebraic stack over the integers. The problem is to give an illuminating description of its reductions modulo powers of p. A related problem is to construct analogs of these reductions related to general Shimura varieties with good reduction at p. Some time ago I formulated conjectures which address these problems. The conjectures have been proved by Z.Gardner, K.Madapusi, and A.Mathew. In particular, they developed a modern version of Dieudonné theory.
De Jorgen Ellegaard Andersen
De Alexander Goncharov
De Mina Aganagic
De Yan Soibelman
De Tony Pantev
De Kenji Fukaya
De Denis Auroux
De Davide Gaiotto
De Yuri Tschinkel
De Pavel Etingof
De Alexander Odesskii
De Barbara Schapira
De Barbara Schapira
