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SUMMARY:Matt Baker (Georgia Tech)
DTSTART;VALUE=DATE-TIME:20210402T190000Z
DTEND;VALUE=DATE-TIME:20210402T200000Z
DTSTAMP;VALUE=DATE-TIME:20230921T143101Z
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/
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