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    • Bibliothèque Mathematique Audiovisuelle

    Bibliothèque Mathematique Audiovisuelle

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    Characterizing Thurston maps by lifting trees

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    Auteurs : Winarski, Rebecca (Auteur de la conférence)
    CIRM (Editeur )

    00:00
    00:00
     
    Résumé : Thurston proved that a post-critically finite branched cover of the plane is either equivalent to a polynomial (that is: conjugate via a mapping class) or it has a topological obstruction. We use topological techniques — adapting tools used tostudy mapping class groups — to produce an algorithm that determines when a branched cover is equivalent to a polynomial, and if it is, determines which polynomial a branched cover is equivalent to.
    This is joint work with Jim Belk, Justin Lanier, and Dan Margalit.

    Mots-Clés : Thurston theory; topological polynomials; branched covers; mapping class groups

    Codes MSC :
    37F10 - Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets
     37F20 - Combinatorics and topology in relation with holomorphic dynamical systems
    57M12 - Special coverings
      Informations sur la Vidéo

      Réalisateur : Hennenfent, Guillaume
      Langue : Anglais
      Date de Publication : 02/11/2021
      Date de Captation : 23/09/2021
      Sous Collection : Research School
      Catégorie arXiv : Rings and Algebras ; Geometric Topology
      Domaine(s) : Systèmes Dynamiques & EDO ; Topologie
      Format : MP4 (.mp4) - HD
      Durée : 00:59:24
      Audience : Chercheurs
      Download : https://videos.cirm-math.fr/2021-09-23_Winarski.mp4
    Informations sur la Rencontre

    Nom de la Rencontre : Advancing Bridges in Complex Dynamics / Avancer les connections dans la dynamique complexe
    Organisateurs de la Rencontre : Benini, Anna Miriam ; Drach, Kostiantyn ; Dudko, Dzmitry ; Hlushchanka, Mikhail ; Schleicher, Dierk
    Dates : 20/09/2021 - 24/09/2021
    Année de la rencontre : 2021
    URL de la Rencontre : https://conferences.cirm-math.fr/2546.html

    Données de citation

    DOI : 10.24350/CIRM.V.19816103
    Citer cette vidéo: Winarski, Rebecca (2021). Characterizing Thurston maps by lifting trees. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19816103
    URI : http://dx.doi.org/10.24350/CIRM.V.19816103

    Voir Aussi

    Bibliographie

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    • HLUSHCHANKA, Mikhail. Invariant graphs, tilings, and iterated monodromy groups. 2017. Thèse de doctorat. Jacobs University Bremen. - http://nbn-resolving.org/urn:nbn:de:gbv:579-opus-1007507

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    • LODGE, Russell. Boundary values of the Thurston pullback map. Conformal Geometry and Dynamics of the American Mathematical Society, 2013, vol. 17, no 8, p. 77-118. - http://dx.doi.org/10.1090/S1088-4173-2013-00255-5

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