Characteristic Classes of Foliations in Positive Characteristic

Speaker: Bertrand Toën
Affiliation: Université de Toulouse
04/01/21

I will present a notion of "derived foliations" on arbitrary schemes. I will explain how it can be used in order to extend vanishing results for characteristic classes (Bott and Baum-Bott) to the positive characteristic setting. A key ingredient will be the construction of a Hodge filtration on algebraic de Rham cohomology induced by a derived foliation.