Veronika Ertl (Universität Regensburg)

Abstract: In this talk I will explain a joint result with Johannes Sprang and Atsushi Shiho.
Under certain conditions of resolutions of singularities in positive characteristic,
we construct a “good” integral p-adic cohomology theory for open and singular varieties,
by using a version of Voevodsky’s h-topology.
I will explain the construction and clarify in which sense our cohomology is a “good” p-adic cohomology theory.
I will also touch on the question why a similar approach does not work in full generality without resolutions of singularities.