BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Lauren Novak (University of Washington) DTSTART:20221129T200000Z DTEND:20221129T210000Z DTSTAMP:20260423T024655Z UID:Matroids/17 DESCRIPTION:Title: Mixed Volumes of normal complexes\nby Lauren Novak (University of Wa shington) as part of Matroids - Combinatorics\, Algebra and Geometry Semin ar\n\nLecture held in Room 210 The Fields Institute.\n\nAbstract\nIn 2021\ , Nathanson and Ross demonstrated that a geometric object called a normal complex is the correct object to unite the algebraic concept of a tropical fan's volume polynomial with an actual geometric volume computation. That same year\, expanding on the work of Adiprasito\, Huh\, and Katz in provi ng log-concavity in characteristic polynomials of matroids\, Amini and Piq uerez established that mixed degrees of divisors of certain classes of tro pical fans are log-concave. Given that mixed volumes generate log-concave sequences\, we develop a definition of mixed volumes of normal complexes a nd use our theory to establish new techniques for determining log-concavit y for mixed degrees of divisors of a broad class of tropical fans.\n LOCATION:https://researchseminars.org/talk/Matroids/17/ END:VEVENT END:VCALENDAR