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SUMMARY:Alicia Dickenstein (U. Buenos Aires)
DTSTART:20210319T140000Z
DTEND:20210319T150000Z
DTSTAMP:20260423T035456Z
UID:LAGARTOS/18
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LAGARTOS/18/
 ">Optimal Descartes rule of signs for polynomial systems supported on circ
 uits</a>\nby Alicia Dickenstein (U. Buenos Aires) as part of (LAGARTOS) La
 tin American Real and Tropical Geometry Seminar\n\n\nAbstract\nDescartes' 
 rule of signs for univariate real polynomials is a beautifully simple uppe
 r bound for the number of positive real roots. Moreover\, it gives the exa
 ct number of positive real roots when the polynomial is real rooted\, for 
 instance\, for characteristic polynomials of symmetric matrices. A general
  multivariate Descartes rule is certainly more complex and still elusive. 
  I will recall the few known multivariate cases and will present a new opt
 imal Descartes rule for polynomials supported on circuits\, obtained in co
 llaboration with Frédéric Bihan and Jens Forsgård. If time permits\, I 
 will talk a bit about lower bounds.\n
LOCATION:https://researchseminars.org/talk/LAGARTOS/18/
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