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H 1 A case of the dynamical André-Oort conjecture

Auteurs : Krieger, Holly (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : In the past few years, conjectures have been made and partial results achieved on unlikely intersections in complex dynamics, following the program initiated by Baker-DeMarco. I will explain their dynamical generalization of the famous André-Oort conjecture on CM points in moduli spaces of abelian varieties. Ghioca, Nguyen, Ye, and myself recently proved the first complete case of this conjecture, for pairs of unicritical polynomials, and I will discuss our result and the connection to invariant subvarieties of $P1 \times P1$, and the structure of the Mandelbrot set.

    Codes MSC :
    37F05 - Relations and correspondences
    37F50 - Small divisors, rotation domains and linearization; Fatou and Julia sets

      Informations sur la Vidéo

      Langue : Anglais
      Date de publication : 21/04/15
      Date de captation : 09/04/15
      Collection : Research talks ; Dynamical Systems and Ordinary Differential Equations
      Format : quicktime ; audio/x-aac
      Durée : 00:54:18
      Domaine : Dynamical Systems & ODE
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : https://videos.cirm-math.fr/2015-04-09_Krieger.mp4

    Informations sur la rencontre

    Nom de la rencontre : Model theory, difference/differential equations and applications / Théorie des modèles, équations différentielles et aux différences et applications
    Organisateurs de la rencontre : Beyarslan, Özlem ; Hils, Martin ; Martin-Pizarro, Amador
    Dates : 07/04/15 - 10/04/15
    Année de la rencontre : 2015
    URL Congrès : http://conferences.cirm-math.fr/1194.html

    Citation Data

    DOI : 10.24350/CIRM.V.18746103
    Cite this video as: Krieger, Holly (2015). A case of the dynamical André-Oort conjecture. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18746103
    URI : http://dx.doi.org/10.24350/CIRM.V.18746103


    Bibliographie

    1. Ghioca, D., Krieger, H., & Nguyen, K. (2014). A case of the dynamical André-Oort conjecture. - http://arxiv.org/abs/1404.6011

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