Truncated (G,mu)-displays and conjectures of Drinfeld Abstract

Keerthi Madapusi, Boston College
Fine Hall 322

We report on proofs of some recent conjectures of Drinfeld on the algebraicity of formal stacks associated with minuscule cocharacters of smooth group schemes over Z_p. These stacks are constructed using the theory of syntomification as developed by Bhatt-Lurie and Drinfeld, and yield an essentially linear algebraic window to the world of p-divisible groups, generalizing classical Dieudonne theory. This is joint work with Zachary Gardner and Akhil Mathew.