Veronika Ertl (Universität Regensburg)

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.

livestream:
http://129.206.106.240/UzPL29kB/mathematikon-seminarraum.html