BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Dustin Ross (San Francisco State University) DTSTART:20201127T170000Z DTEND:20201127T180000Z DTSTAMP:20260423T022932Z UID:UBC-AG/9 DESCRIPTION:Title: P utting the "volume" back in volume polynomials\nby Dustin Ross (San Fr ancisco State University) as part of UBC Vancouver Algebraic Geometry Semi nar\n\n\nAbstract\nIt is a strange and wonderful fact that Chow rings of m atroids behave in many ways similarly to Chow rings of smooth projective v arieties. Because of this\, the Chow ring of a matroid is determined by a homogeneous polynomial called its volume polynomial\, whose coefficients r ecord the degrees of all possible top products of divisors. The use of the word "volume" is motivated by the fact that the volume polynomial of a sm ooth projective toric variety actually measures the volumes of certain pol ytopes associated to the variety. In the matroid setting\, on the other ha nd\, no such polytopes exist\, and the goal of our work was to find more g eneral polyhedral objects whose volume is measured by the volume polynomia l of matroids. In this talk\, I will motivate and describe these polyhedra l objects. This is joint work with Anastasia Nathanson.\n LOCATION:https://researchseminars.org/talk/UBC-AG/9/ END:VEVENT END:VCALENDAR