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December 6: Akhil Matthew
Title: Dieudonné theory: from classical to modern
Abstract: Dieudonné theory gives a classification in terms of “semi-linear algebra” of finite flat commutative group schemes of p-power order over a perfect field of characteristic p > 0. Over the years, Dieudonné theory has evolved in many forms (crystalline, prismatic) and recently V. Drinfeld has proposed various “Shimurian” generalizations of the theory. I will give an introduction to and overview of some of this history and more recent developments.
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