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SUMMARY:Annie Raymond (Massachusetts Amherst)
DTSTART:20210312T140000Z
DTEND:20210312T150000Z
DTSTAMP:20260423T021104Z
UID:WCS/22
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WCS/22/">Gra
 ph Density Inequalities\, Sums of Squares and Tropicalization</a>\nby Anni
 e Raymond (Massachusetts Amherst) as part of Warwick Combinatorics Seminar
 \n\n\nAbstract\nEstablishing inequalities among graph densities is a centr
 al pursuit in extremal graph theory. One way to certify the nonnegativity 
 of a graph density expression is to write it as a sum of squares or as a r
 ational sum of squares. In this talk\, we will explore how one does so and
  we will then identify simple conditions under which a graph density expre
 ssion cannot be a sum of squares or a rational sum of squares. Tropicaliza
 tion will play a key role for the latter\, and will turn out to be an inte
 resting object in itself. This is joint work with Greg Blekherman\, Mohit 
 Singh\, and Rekha Thomas.\n
LOCATION:https://researchseminars.org/talk/WCS/22/
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