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DTSTART;TZID=Europe/Paris:20220624T140000
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SUMMARY:Soutenance HDR : Marc Pouget (Gamble)
DESCRIPTION:Marc Pouget (Gamble) soutiendra son Habilitation à Diriger des Recherches le vendredi 24 juin à 14h en salle A008\, avec une présentation intitulée « Bivariate systems & topology of plane curves: algebraic and numerical methods ». \n\nAbstract: The work presented in this thesis belongs to the domain of non-linear computational geometry in low dimension. More precisely it focuses on solving\nbivariate systems and computing the topology of curves in the plane. When the input is given by polynomials\, the natural tools come from computer algebra. Our\ncontributions are algorithms proven efficient in a deterministic or a Las Vegas settings together with a practical efficient software for topology certified\ndrawing of a plane algebraic curve. When the input is not restricted to be polynomials but given by interval functions\, we design algorithms based on\ncertified numerical approches using subdivision and interval arithmetic. The input is then required to fulfill some generic assumptions and our algorithms\nare certified in the sense that they terminate if and only if the assumptions are satisfied.\n\nComposition du jury\nPrésidente :\nMarine Minier\, Professeure à l’Université de Lorraine\nRapporteurs :\nEvelyne Hubert\, Directrice de Recherche INRIA\, Sophia Antipolis\nSonia Pérez-Dıaz\, Professeure à l’Université d’Alcala\, Espagne\nEric Schost\, Professeur à l’Université de Waterloo\, Canada\nExaminateurs :\nDamien Chablat\, Directeur de Recherche CNRS\, Université de Nantes\nNicolas Delanoue\, Maître de conférence\, HDR\, Université d’Angers
URL:https://www.loria.fr/event/soutenance-hdr-marc-pouget-gamble/
LOCATION:A008
CATEGORIES:HDR
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