BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Georg Loho (U. Kassel) DTSTART:20201204T140000Z DTEND:20201204T150000Z DTSTAMP:20260423T021055Z UID:LAGARTOS/11 DESCRIPTION:Title: Oriented matroids from triangulations of products of simplices\nby G eorg Loho (U. Kassel) as part of (LAGARTOS) Latin American Real and Tropic al Geometry Seminar\n\n\nAbstract\nClassically\, there is a rich theory in algebraic combinatorics\nsurrounding the various objects associated with a generic real matrix.\nExamples include regular triangulations of the pro duct of two simplices\,\ncoherent matching fields\, and realizable oriente d matroids.\nIn this talk\, we will extend the theory by skipping the matr ix and\nstarting with an arbitrary triangulation of the product of two sim plices\ninstead. In particular\, we show that every polyhedral matching fi eld\ninduces oriented matroids. The oriented matroid is composed of\ncompa tible chirotopes on the cells in a matroid subdivision of the\nhypersimple x. Furthermore\, we give a corresponding topological\nconstruction using V iro’s patchworking. This allows to derive a\nrepresentation of the orien ted matroid as a pseudosphere arrangement\nfrom a fine mixed subdivision.\ nThis is joint work with Marcel Celaya and Chi-Ho Yuen.\n LOCATION:https://researchseminars.org/talk/LAGARTOS/11/ END:VEVENT END:VCALENDAR