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SUMMARY:Boulos El Hilany (TU Braunschweig)
DTSTART:20220211T140000Z
DTEND:20220211T150000Z
DTSTAMP:20260423T021001Z
UID:LAGARTOS/36
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LAGARTOS/36/
 ">The tropical discriminant of a polynomial map on the plane</a>\nby Boulo
 s El Hilany (TU Braunschweig) as part of (LAGARTOS) Latin American Real an
 d Tropical Geometry Seminar\n\n\nAbstract\nThe discriminant\, $D(f)$\, of 
 a map $f:X\\to Y$ is the set of images of its critical points.\nApproximat
 ing $D(f)$ presents a fruitful insight for solving numerous problems in ma
 thematics.\nHowever\, standard methods for achieving this rely on eliminat
 ion techniques which can be excessively inefficient.\n\nI will present a p
 urely combinatorial procedure for computing the tropical curve in $\\mathb
 b{R}^2$ of the discriminant of a polynomial map on the plane satisfying so
 me mild genericity conditions. Thanks to the advances in tropical geometry
  in the last 20 years\, this new procedure gives rise to a more efficient 
 algorithm for approximating $D(f)$\, and for working out its geometrical/t
 opological invariants.\n
LOCATION:https://researchseminars.org/talk/LAGARTOS/36/
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