Number theory seminar

Speaker: Pablo Destic

Title : Definability of adelic intersection

Abstract : Globally valued fields were introduced by Ben Yaacov and Hrushovski as an equivalent of adelic curves in logic. In this talk, I will define arithmetic intersection theory over globally valued fields, and show its definability from the point of view of unbounded continuous logic. Then, I will prove a conjecture from Gualdi related to average heights of intersections of hypersurfaces in a toric variety. This is joint work with Nuno Hultberg and Michal Szachniewicz.