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H 1 Nonstandard compact complex manifolds with a generic auto-morphism

Auteurs : Moosa, Rahim (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : If CCM denotes the theory of compact complex spaces in the langauge of complex-analytic sets, then the theory of models of CCM equipped with an automorphism has a model companion, denoted by CCMA. The relationship to meromorphic dynamical systems is the same as that of ACFA to rational dynamical systems. I will discuss recent joint work with Martin Bays and Martin Hils that begins a systematic study of CCMA as an expansion of ACFA. Particular topics we consider include: stable embeddedness, imaginaries, and the Zilber dichotomy.

    Codes MSC :
    03C45 - Classification theory, stability and related concepts [See also 03C48]
    03C60 - Model-theoretic algebra
    03C65 - Models of other mathematical theories
    32Jxx - Compact analytic spaces [For Riemann surfaces, see 14Hxx, 30Fxx; for algebraic theory, see 14Jxx]

      Informations sur la Vidéo

      Langue : Anglais
      Date de publication : 21/04/15
      Date de captation : 07/04/15
      Collection : Research talks ; Logic and Foundations
      Format : quicktime ; audio/x-aac
      Durée : 00:51:45
      Domaine : Logic and Foundations
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : https://videos.cirm-math.fr/2015-04-07_Moosa.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.18745803
    Cite this video as: Moosa, Rahim (2015). Nonstandard compact complex manifolds with a generic auto-morphism. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18745803
    URI : http://dx.doi.org/10.24350/CIRM.V.18745803


    Bibliographie

    1. Bays, M., Hils, M., & Moosa, R. (2015). Model Theory of Compact Complex Manifolds with an Automorphism. - http://arxiv.org/abs/1502.06521

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