Sebastian Wolf (Universität Regensburg)

In 1990, Voevodsky proved a conjecture of Grothendieck, that morphisms of normal schemes of finite type over the rational numbers can be reconstructed from the induced morphism of étale topoi. The goal of this talk is to give an outline of Voevodsky’s proof and explain how to extend it to certain sufficiently nice singular schemes. If time permits, we will also see what one has to modify to make it work in positive characteristic. This is joint work with Peter Haine.