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SUMMARY:Cynthia Vinzant (University of Washington)
DTSTART:20230413T190000Z
DTEND:20230413T200000Z
DTSTAMP:20260423T040107Z
UID:Matroids/49
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Matroids/49/
 ">Positively Hyperbolic Varieties\, Tropicalization\, and Positroids</a>\n
 by Cynthia Vinzant (University of Washington) as part of Matroids - Combin
 atorics\, Algebra and Geometry Seminar\n\nLecture held in Room 210 The Fie
 lds Institute.\n\nAbstract\nHyperbolic varieties are a generalization of r
 eal-rooted polynomials for varieties of codimension more than one. One pro
 minent example is the image of linear space under coordinate-wise inversio
 n. I will discuss the combinatorial structure of varieties that are hyperb
 olic with respect to the nonnegative Grassmannian\, which is intimately re
 lated with the theory of positroids. These varieties generalize multivaria
 te stable polynomials and their tropicalizations are locally subfans of th
 e type-A hyperplane arrangement\, in which the maximal cones satisfy a non
 -crossing condition. This is based on joint work with Felipe Rincón and J
 osephine Yu.\n
LOCATION:https://researchseminars.org/talk/Matroids/49/
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