Alberto Vezzani (Paris 13): Classic and new cohomologies for rigid varieties via homotopy theory
We summarize the definitions and the most important properties of the categories of rigid analytic motives (as defined by Ayoub) and we use them to define a new de Rham cohomology for analytic varieties in equi-characteristic p, and to study more classical cohomologies in p-adic Hodge theory. In particular, we describe the relevance (and the limitations) of a Betti-like topological realization via Berkovich spaces.
Published June 8, 2020 10:06 AM
- Last modified June 8, 2020 10:06 AM