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H 1 Unlikely intersections of polynomial orbits

Auteurs : Zieve, Michael (Auteur de la Conférence)
... (Editeur )

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    Résumé : For a polynomial $f(x)$ over a field $L$, and an element $c \in L$, I will discuss the size of the intersection of the orbit $\lbrace f(c),f(f (c)),...\rbrace$ with a prescribed subfield of $L$. I will also discuss the size of the intersection of orbits of two distinct polynomials, and generalizations of these questions to more general maps between varieties.
    polynomial decomposition - classification of finite simple groups - Bombieri-Lang conjecture - orbit - dynamical system - unlikely intersections

    Codes MSC :
    11C08 - Polynomials, See also {13F20}
    14Gxx - Arithmetic problems. Diophantine geometry, See also {11Dxx,11Gxx}
    37F10 - Polynomials - rational maps - entire and meromorphic functions

      Informations sur la Vidéo

      Langue : Anglais
      Date de publication : 06/05/14
      Date de captation : 04/02/14
      Collection : Research talks ; Dynamical Systems and Ordinary Differential Equations ; Algebraic and Complex Geometry ; Number Theory
      Format : quicktime ; audio/x-aac
      Durée : 00:40:04
      Domaine : Algebraic & Complex Geometry ; Number Theory ; Dynamical Systems & ODE
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : https://videos.cirm-math.fr/2014-02-04_Zieve.mp4

    Informations sur la rencontre

    Nom de la rencontre : Jean-Morlet Chair - Main conference : unlikely intersections / Chaire Jean-Morlet - Conférence principale
    Organisateurs de la rencontre : Shparlinski, Igor
    Dates : 03/02/14 - 07/02/14
    Année de la rencontre : 2014
    URL Congrès : http://shparlinskikohel.weebly.com/main-...

    Citation Data

    DOI : 10.24350/CIRM.V.18573703
    Cite this video as: Zieve, Michael (2014). Unlikely intersections of polynomial orbits. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18573703
    URI : http://dx.doi.org/10.24350/CIRM.V.18573703


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