BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Matt Baker (Georgia Tech) DTSTART:20210402T190000Z DTEND:20210402T200000Z DTSTAMP:20260407T230747Z UID:agstanford/39 DESCRIPTION:Title: Pastures\, Polynomials\, and Matroids\nby Matt Baker (Georgia Tech ) as part of Stanford algebraic geometry seminar\n\n\nAbstract\nA pasture is\, roughly speaking\, a field in which addition is allowed to be both mu ltivalued and partially undefined. Pastures are natural objects from the p oint of view of $\\mathbf{F}_1$ geometry and Lorscheid’s theory of order ed blueprints. I will describe a theorem about univariate polynomials over pastures which simultaneously generalizes Descartes’ Rule of Signs and the theory of Newton polygons. Conjecturally\, there should be a similar p icture for several polynomials in several variables generalizing tropical intersection theory. I will also describe a novel approach to the theory o f matroid representations which revolves around a canonical universal past ure\, called the “foundation”\, that one can attach to any matroid. Th is is joint work with Oliver Lorscheid.\n\nThe discussion for Matt Baker ’s talk is taking place not in zoom-chat\, but at https://tinyurl.com/2 021-04-02-mb (and will be deleted after ~3-7 days).\n LOCATION:https://researchseminars.org/talk/agstanford/39/ END:VEVENT END:VCALENDAR