BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Benjamin Schröter (Goethe-Universität Frankfurt am Main) DTSTART:20230427T141500Z DTEND:20230427T160000Z DTSTAMP:20260422T065832Z UID:CJCS/112 DESCRIPTION:Title: V aluative invariants for large classes of matroids\nby Benjamin Schröt er (Goethe-Universität Frankfurt am Main) as part of Copenhagen-Jerusalem Combinatorics Seminar\n\n\nAbstract\nValuations on polytopes are maps tha t combine the geometry of polytopes with relations in a group. It turns ou t that many important invariants of matroids are valuative on the collecti on of matroid base polytopes\, e.g.\, the Tutte polynomial and its special izations or the Hilbert–Poincaré series of the Chow ring of a matroid.\ n\nIn this talk I will present a framework that allows us to compute such invariants on large classes of matroids\, e.g.\, (sparse) paving and eleme ntary split matroids\, explicitly. The concept of split matroids introduce d by Joswig and myself is relatively new and generalize the notion of (spa rse) paving matroids. These classes appear naturally in the context of val uations and proved to be useful in other cases\, too. other cases. I will demonstrate our framework by looking at Ehrhart polynomials and further ex amples.\n\nThis talk is based on the preprint `Valuative invariants for la rge classes of matroids'. On special request I will also mention the main result of `The Merino-Welsh conjecture for split matroids' which discusses a well known conjecture on values of the Tutte polynomial. Both of these articles are joint work with Luis Ferroni.\n LOCATION:https://researchseminars.org/talk/CJCS/112/ END:VEVENT END:VCALENDAR