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SUMMARY:Matt Baker (Georgia Institute of Technology)
DTSTART:20210122T141500Z
DTEND:20210122T153000Z
DTSTAMP:20260422T172459Z
UID:TGiZ/14
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/TGiZ/14/">Pa
 stures\, Polynomials\, and Matroids</a>\nby Matt Baker (Georgia Institute 
 of Technology) as part of Tropical Geometry in Frankfurt/Zoom TGiF/Z\n\n\n
 Abstract\nA pasture is\, roughly speaking\, a field in which addition is a
 llowed to be both multivalued and partially undefined. Pastures are natura
 l objects from the point of view of F_1 geometry and Lorscheid’s theory 
 of ordered blueprints. I will describe a theorem about univariate polynomi
 als over pastures which simultaneously generalizes Descartes’ Rule of Si
 gns and the theory of NewtonPolygons. Conjecturally\, there should be a si
 milar picture for several polynomials in several variables generalizing tr
 opical intersection theory. I will also describe a novel approach to the t
 heory of matroid representations which revolves around a canonical univers
 al pasture called the “foundation” that one can attach to any matroid.
   This is joint work with Oliver Lorscheid.\n
LOCATION:https://researchseminars.org/talk/TGiZ/14/
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