Veronika Ertl (Universität Caen): Rigid syntomic cohomology over p-adic fields

Abstract: Syntomic cohomology plays an important role in the research of (p-adic) L-functions. An advantage of a rigid analytic approach is that it gives an explicit description suitable for calculations. On the other hand, it is rather technical, which makes laying down the foundations challenging. In this talk I will report on joint work in progress with Kazuki Yamada. I will explain how to extend the theory that we have previously developed of a syntomic cohomology for semistable schemes to the case of varieties over p-adic fields.