Number Theory Seminar

Dieudonné theory via cohomology of classifying stacks

Shubhodip Mondal, Department of Mathematics, University of British Columbia,

Classically, Dieudonné theory offers a linear algebraic classification of finite group schemes and p-divisible groups over a perfect field of characteristic p>0. In this talk, I will discuss generalizations of this story from the perspective of p-adic cohomology theory (such as crystalline cohomology, and the newly developed prismatic cohomology due to Bhatt--Scholze) of classifying stacks. Time permitting, I will discuss some applications.

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