7 septembre 2017: 1 événement

  • Conférences - Colloques - Journées

    Du 4 au 8 septembre 2017 - Paolo Rossi - Institut de Mathématiques de Bourgogne

    Moduli spaces of Curves, Integrable Systems and related subjects

    Lieu : Salle René Baire - Etage 4 - IMB
    9 avenue Alain Savary
    21078 DIJON

    Notes de dernières minutes : [Site web de la conférence->]

    En savoir plus : Conférences - Colloques - Journées

7 septembre 2017: 1 événement

  • Séminaires GSD

    Jeudi 7 septembre 2017 10:30-11:30 - Ariyan Javanpeykar - Johannes Gutenberg-Universität (Mayence)

    Séminaire GSD "Picard’s little theorem and hyperbolicity of moduli spaces"

    Résumé : Picard’s little theorem is one of the basic theorems in complex analysis. It has the following well-known application in algebraic geometry :
    if S is a complex algebraic variety, then any holomorphic function on S whose image avoids at least two points is algebraic. In other words, any holomorphic morphism S -> C-{0,1} is algebraic.
    Borel noticed that C-{0,1} is naturally a moduli space for elliptic curves. In 1972 he proved the analogous statement of Picard’s little theorem for the moduli space of polarized abelian varieties. That is, if X is a Shimura variety and f:S -> X is a holomorphic map, then f is algebraic. This has many nice applications (e.g., the algebraic structure on a Shimura variety is unique). In this joint work with Robert Kucharczyk, Ruiran Sun, and Kang Zuo, we generalize Borel’s theorem for the moduli space of polarized abelian varieties to other moduli spaces.
    As an application, we obtain a simple proof of the Brody hyperbolicity of these moduli spaces.

    Lieu : Salle 318

    En savoir plus : Séminaires GSD