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SUMMARY:On the dynamics of vector fields having univalued solutions
DTSTART:20250513T120000Z
DTEND:20250513T130000Z
DTSTAMP:20260522T230200Z
UID:indico-event-14234@indico.math.cnrs.fr
DESCRIPTION:Speakers: Laura Rosales Ortiz (Université de Porto)\n\nThe Pa
 inlevé test --a tool frequently used by physicists-- offers asurprising w
 ay to guess if a system is integrable (i.e. has "tame" globaldynamics) jus
 t by looking at how its solutions behave near thesingularities. However\, 
 its success remains largely mysterious. In thistalk\, we will look at a re
 lated notion: semicomplete vector fields\, whichare vector fields possessi
 ng only univalued solutions. We will show howcertain local conditions arou
 nd the singularities "constrains" thecomplexity of the global dynamics of 
 the foliation they define. Althoughwhat should be considered as a "tame" d
 ynamics is a slightly vague notion\,in this talk we will focus on its rela
 tion with the nature of the leaves(hyperbolic\, parabolic) and in the supp
 ort of positive harmonic foliatedcurrents.\n\nhttps://indico.math.cnrs.fr/
 event/14234/
LOCATION:Salle de séminaire (Orléans institut Denis Poisson)
URL:https://indico.math.cnrs.fr/event/14234/
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