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SUMMARY:Annie Raymond (University of Massachusetts)
DTSTART:20210419T140000Z
DTEND:20210419T150000Z
DTSTAMP:20260423T021141Z
UID:EPC/56
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/EPC/56/">Gra
 ph Density Inequalities\, Sums of Squares and Tropicalization</a>\nby Anni
 e Raymond (University of Massachusetts) as part of Extremal and probabilis
 tic combinatorics webinar\n\n\nAbstract\nEstablishing inequalities among g
 raph densities is a central pursuit in extremal graph theory. One way to c
 ertify the nonnegativity of a graph density expression is to write it as a
  sum of squares or as a rational sum of squares. In this talk\, we will ex
 plore how one does so and we will then identify simple conditions under wh
 ich a graph density expression cannot be a sum of squares or a rational su
 m of squares. Tropicalization will play a key role for the latter\, and wi
 ll turn out to be an interesting object in itself. This is joint work with
  Greg Blekherman\, Mohit Singh\, and Rekha Thomas.\n
LOCATION:https://researchseminars.org/talk/EPC/56/
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