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H 1 The uniformization of the moduli space of abelian 6-folds

Auteurs : Farkas, Gavril (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : The general principally polarized abelian variety of dimension at most five is known to be a Prym variety. This reduces the study of abelian varieties of small dimension to the beautifully concrete theory of algebraic curves. I will discuss recent breakthrough on finding a structure theorem for principally polarized abelian varieties of dimension six as Prym-Tyurin varieties associated to covers with $E_6$-monodromy, and the implications this uniformization result has on the geometry of the moduli space $A_6$. This is joint work with Alexeev, Donagi, Izadi and Ortega.

    Codes MSC :
    14H10 - Families, moduli (algebraic)
    14H40 - Jacobians, Prym varieties
    14J40 - Algebraic $n$-folds ($n>4$)

      Informations sur la Vidéo

      Langue : Anglais
      Date de publication : 02/12/15
      Date de captation : 27/10/15
      Collection : Research talks ; Algebraic and Complex Geometry
      Format : MP4
      Durée : 01:00:55
      Domaine : Algebraic & Complex Geometry
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : https://videos.cirm-math.fr/2015-10-27_Farkas.mp4

    Informations sur la rencontre

    Nom de la rencontre : Moduli spaces in geometry / Espaces de modules en géométrie
    Organisateurs de la rencontre : Ayoub, Joseph ; Schmitt, Alexander ; Teleman, Andrei
    Dates : 26/10/15 - 30/10/15
    Année de la rencontre : 2015
    URL Congrès : http://conferences.cirm-math.fr/1139.html

    Citation Data

    DOI : 10.24350/CIRM.V.18869803
    Cite this video as: Farkas, Gavril (2015). The uniformization of the moduli space of abelian 6-folds. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18869803
    URI : http://dx.doi.org/10.24350/CIRM.V.18869803


    Bibliographie

    1. Alexeev, V., Donagi, R., Farkas, G., Izadi, E., & Ortega, A. (2015). The uniformization of the moduli space of principally polarized abelian 6-folds. - http://arxiv.org/abs/1507.05710

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