Cohomology of classifying space/stack of a group G is the home which resides all characteristic classes of G-bundles/torsors. In this talk, we will try to explain some results on Hodge/de Rham cohomology of BG where G is a p-power order commutative group scheme over a perfect field of characteristic p, in terms of its Dieudonné module.

This is joint work in progress with Dmitry Kubrak and Shubhodip Mondal.

This video is part of the Institute for Advanced Study‘s Special year seminar 2023.