BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Benjamin Schroter (Goethe-Universität Frankfurt) DTSTART:20230216T200000Z DTEND:20230216T210000Z DTSTAMP:20260423T041031Z UID:Matroids/37 DESCRIPTION:Title: Valuative invariants for large classes of matroids\nby Benjamin Schr oter (Goethe-Universität Frankfurt) as part of Matroids - Combinatorics\, Algebra and Geometry Seminar\n\nLecture held in Room 210 The Fields Insti tute.\n\nAbstract\nValuations on polytopes are maps that combine the geome try of polytopes with relations in a group. It turns out that many importa nt invariants of matroids are valuative on the collection of matroid base polytopes\, e.g.\, the Tutte polynomial and its specializations or the Hil bert–Poincaré series of the Chow ring of a matroid.\n\nIn this talk I w ill present a framework that allows us to compute such invariants on large classes of matroids\, e.g.\, sparse paving and elementary split matroids\ , explicitly. The concept of split matroids introduced by Joswig and mysel f is relatively new. However\, this class appears naturally in this contex t. Moreover\, (sparse) paving matroids are split. I will demonstrate the f ramework by looking at Ehrhart polynomials and further examples. \n\nThis talk is based on the preprint `Valuative invariants for large classes of m atroids' which is joint work with Luis Ferroni.\n LOCATION:https://researchseminars.org/talk/Matroids/37/ END:VEVENT END:VCALENDAR