BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Bennet Goeckner (University of San Diego) DTSTART:20221006T190000Z DTEND:20221006T200000Z DTSTAMP:20260423T022716Z UID:Matroids/2 DESCRIPTION:Title: Type cones and products of simplices\nby Bennet Goeckner (University of San Diego) as part of Matroids - Combinatorics\, Algebra and Geometry S eminar\n\nLecture held in Room 210\, The Fields Institute.\n\nAbstract\nA polytope $P$ is the convex hull of finitely many points in Euclidean space . For polytopes $P$ and $Q$\, we say that $Q$ is a Minkowski summand of $P $ if there exists some polytope $R$ such that $Q+R=P$. The type cone of $P $ encodes all of the (weak) Minkowski summands of P. In general\, combinat orially isomorphic polytopes can have different type cones. We will first consider type cones of polygons\, and then show that if $P$ is combinatori ally isomorphic to a product of simplices\, then the type cone is simplici al. This is joint work with Federico Castillo\, Joseph Doolittle\, Michael Ross\, and Li Ying.\n LOCATION:https://researchseminars.org/talk/Matroids/2/ END:VEVENT END:VCALENDAR