Casimir Kothari (Chicago)

Dieudonné theory is the study of families of group schemes via linear-algebraic data.  In this talk, I will begin by recalling some motivation for Dieudonné theory, with examples.  Then I will explain some new classification and smoothness results for certain close relatives of p-divisible groups known as n-smooth groups, which affirmatively answer conjectures of Drinfeld. This is joint work with Joshua Mundinger.