Poincaré duality in rigid analytic Hyodo-Kato theory.

Appears in collection : Tropical Geometry, Berkovich Spaces, Arithmetic D-Modules and p-adic Local Systems

Hyodo-Kato theory plays an important role in different parts of arithmetic geometry, for example in p-adic Hodge theory or the research of p-adic L-fnctions.Especially for the latter it is of advantage to describe explicitly certain cohomology classes, both in the usual Hyodo-Kato theory and the compactly supported Hyodo-Kato theory. I will talk about a rigid analytic construction of Hyodo-Kato theory developed together with Kazuki Yamada (Keio University) and its compa- tibility with PoincarŽe duality, which is suited for such explicit computations.