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DTSTART:20240310T070000
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DTSTART:20231105T060000
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UID:69f930bd2c190
DTSTART;TZID=America/Toronto:20240930T143000
SEQUENCE:0
TRANSP:TRANSPARENT
DTEND;TZID=America/Toronto:20240930T153000
URL:https://uwaterloo.ca/pure-mathematics/events/pure-math-dept-colloquium-
 0
SUMMARY:Pure Math Dept Colloquium
CLASS:PUBLIC
DESCRIPTION:GREGORY G. SMITH\, QUEEN'S UNIVERSITY\n\nSums of Squares and Pr
 ojective Geometry\n\nA multivariate real polynomial is nonnegative if its 
 value at any real\npoint is greater than or equal to zero.  These special
  polynomials\nplay a central role in many branches of mathematics includin
 g\nalgebraic geometry\, optimization theory\, and dynamical systems. \nHo
 wever\, it is very difficult\, in general\, to decide whether a given\npol
 ynomial is nonnegative.  In this talk\, we will review some\nclassical me
 thods for certifying that a polynomial is nonnegative. \nWe will then pre
 sent novel certificates in some important cases. This\ntalk is based on jo
 int work with Grigoriy Blekherman\, Rainer Sinn\, and\nMauricio Velasco.\n
 \nMC 5501
DTSTAMP:20260504T235021Z
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