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BEGIN:VEVENT
UID:www.tcs.tifr.res.in/event/1274
DTSTAMP:20230914T125957Z
SUMMARY:Computational variants of the general Lax conjecture
DESCRIPTION:Speaker: Rafael Oliviera (University of Waterloo)\n\nAbstract: 
 \nHyperbolicity cones are convex semialgebraic sets generalizing both poly
 hedral and spectrahedral cones\, the latter forming the basic geometric se
 ts from linear and semidefinite programming. Hyperbolic polynomials\, whic
 h give rise to these hyperbolicity cones\, have recently found application
 s in several areas of mathematics\, statistical physics\, computer science
 \, and optimization. The general Lax conjecture is a fundamental question 
 in real algebraic geometry and optimization: do hyperbolicity cones form a
  strict generalization of spectrahedral cones?\nIn this talk\, we will giv
 e an introduction to hyperbolic polynomials and their cones\, and raise se
 veral computational questions related to these objects\, which blend algeb
 raic complexity\, real algebraic geometry\, proof complexity and optimizat
 ion.\n
URL:https://www.tcs.tifr.res.in/web/events/1274
DTSTART;TZID=Asia/Kolkata:20230220T143000
DTEND;TZID=Asia/Kolkata:20230220T153000
LOCATION:A201
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