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4 octobre 2017: 1 événement

  • Séminaires SPOC

    Mercredi 4 octobre 10:30-11:30 - Moustapha séne - 'Université Saint-Louis Sénégal

    Explicit Algorithm for Hammerstein Equations with bounded Hemi-continuous and Monotone operators
    En savoir plus : Séminaires SPOC

4 octobre 2017: 1 événement

  • Séminaires GSD

    Mercredi 4 octobre 14:00-15:00 - Dmitry Novikov - Weizmann

    Séminaire GSD "Complex cellular parameterization"

    Résumé : We introduce the notion of a complex cell, a complex analog of the cell decompositions used in real algebraic and analytic geometry. Complex cells defined using holomorphic data admit a natural notion of analytic continuation called δ-extension, which gives rise to a hyperbolic geometric structure absent in the real case. We use this structure to prove that complex cellular decompositions share some interesting features with the classical constructions in the theory of resolution of singularities. Restriction of a complex cellular decomposition to the reals recovers the preparation theorem for subanalytic functions, and can be viewed as an analytic continuation thereof.
    A key difference in comparison to the classical resolution of singularities is that the cellular decompositions are intrinsically uniform over (sub)analytic families. We deduce a subanalytic version of the Yomdin-Gromov theorem where Ck-smooth maps are replaced by mild maps.
    (joint work with Gal Binyamini)

    Lieu : Salle 318

    En savoir plus : Séminaires GSD