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Soutenance HDR : Marc Pouget (Gamble)

24 June 2022 @ 14:00 pm - 17:00 pm

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”.

Abstract: The work presented in this thesis belongs to the domain of non-linear computational geometry in low dimension. More precisely it focuses on solving
bivariate 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
contributions are algorithms proven efficient in a deterministic or a Las Vegas settings together with a practical efficient software for topology certified
drawing of a plane algebraic curve. When the input is not restricted to be polynomials but given by interval functions, we design algorithms based on
certified numerical approches using subdivision and interval arithmetic. The input is then required to fulfill some generic assumptions and our algorithms
are certified in the sense that they terminate if and only if the assumptions are satisfied.
Composition du jury
Présidente :
Marine Minier, Professeure à l’Université de Lorraine
Rapporteurs :
Evelyne Hubert, Directrice de Recherche INRIA, Sophia Antipolis
Sonia Pérez-Dıaz, Professeure à l’Université d’Alcala, Espagne
Eric Schost, Professeur à l’Université de Waterloo, Canada
Examinateurs :
Damien Chablat, Directeur de Recherche CNRS, Université de Nantes
Nicolas Delanoue, Maître de conférence, HDR, Université d’Angers


24 June 2022
14:00 pm - 17:00 pm
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