17 mai 2017: 1 événement

  • Séminaires Math-Physique

    Mercredi 17 mai 2017 16:15-17:15 - Simonetta Abenda - Università di Bologna

    Séminaire Math-Phys : KP theory, total positivity and rational degenerations of M-curves

    Résumé : We establish connections between two objects, naturally arising in the theory of the Kadomtsev-Petviashvily equation : totally nonnegative Grassmannians and rational degenerations of the M-curves (Riemann surfaces with an antiholomorphic involution and the maximal possible number of real ovals) with a collection of marked points.
    More precisely, we show that a KP divisor satisfying the reality conditions on a degenerate M-curve is canonically associated to any point in the totally non—negative Grassmannian.
    In the case of rational degenerations of hyperelliptic M-curves, we also solve the inverse problem and explain the connection to the finite Toda system.
    This research is done in collaboration with P.G. Grinevich (LITP, Moscow)

    Lieu : Salle A318

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