BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Benjamin Schröter (Goethe-Universität Frankfurt) DTSTART:20221125T154500Z DTEND:20221125T164000Z DTSTAMP:20260422T172500Z UID:TGiZ/46 DESCRIPTION:Title: Va luative invariants for large classes of matroids\nby Benjamin Schröte r (Goethe-Universität Frankfurt) as part of Tropical Geometry in Frankfur t/Zoom TGiF/Z\n\n\nAbstract\nValuations on polytopes are maps that combine the geometry of polytopes with relations in a group. It turns out that ma ny important invariants of matroids are valuative on the collection of mat roid base polytopes\, e.g.\, the Tutte polynomial and its specializations or the Hilbert–Poincaré series of the Chow ring of a matroid.\n\nIn thi s talk I will present a framework that allows us to compute such invariant s on large classes of matroids\, e.g.\, sparse paving and elementary split matroids\, explicitly. The concept of split matroids introduced by Joswig and myself is relatively new. However\, this class appears naturally in t his context. Moreover\, (sparse) paving matroids are split. I will demonst rate the framework by looking at Ehrhart polynomials\, relations in Chow r ings of combinatorial geometries\, and further examples.\n\nThis talk is b ased on the preprint `Valuative invariants for large classes of matroids' which is joint work with Luis Ferroni.\n LOCATION:https://researchseminars.org/talk/TGiZ/46/ END:VEVENT END:VCALENDAR