Oberseminar Algebra und Geometrie

Andreas Mihatsch (Universität Bonn)

Abstract:
δ-Forms were invented by Gubler–Künnemann, they are certain
hybrid objects on non-archimedean spaces that combine the smooth
differential forms of Chambert-Loir–Ducros with tropical intersection
theory. In this talk, I will first present a purely local definition of
δ-forms that is based on the combinatorics of skeletons in Berkovich
spaces. I will then explain an application to intersection numbers on
integral models: The lengths of artinian complete intersections on the
model agree with certain integrals of δ-forms in the generic fiber.