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SUMMARY:Sebastian Debus (Otto-von-Guericke-University Magdeburg)
DTSTART:20230413T141500Z
DTEND:20230413T160000Z
DTSTAMP:20260422T065352Z
UID:CJCS/113
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CJCS/113/">T
 he wonderful geometry of the Vandermonde map</a>\nby Sebastian Debus (Otto
 -von-Guericke-University Magdeburg) as part of Copenhagen-Jerusalem Combin
 atorics Seminar\n\n\nAbstract\nIn this talk we consider the geometry of th
 e image of the Vandermonde map consisting of the first d power sums restri
 cted on the probability simplex. The images form an increasing chain in th
 e number of variables. We describe the image for finite n and at infinity\
 , and prove that it has the combinatorial structure of a cyclic polytope.\
 nWe relate the image to the study of copositive symmetric forms and prove 
 undecidability of verifying nonnegativity of trace polynomials whose domai
 n are all symmetric matrices of all sizes.\n\nThis is joint work with Jose
  Acevedo\, Greg Blekherman and Cordian Riener.\n
LOCATION:https://researchseminars.org/talk/CJCS/113/
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