English
The uniformization of the moduli space of abelian 6-folds
Multi angle
Auteurs : Farkas, Gavril (Auteur de la Conférence)
CIRM (Editeur )
14H10 - Families, moduli (algebraic)
14H40 - Jacobians, Prym varieties
14J40 - Algebraic $n$-folds ($n>4$)
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 ($n>4$)
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 02/12/15 Date de captation : 27/10/15 Sous collection : Research talks arXiv category : Algebraic Geometry Domaine : Algebraic & Complex Geometry Format : MP4 (.mp4) - HD Durée : 01:00:55 Audience : Researchers Download : https://videos.cirm-math.fr/2015-10-27_Farkas.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Moduli spaces in geometry / Espaces de modules en géométrieOrganisateurs 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
Données de citation
DOI : 10.24350/CIRM.V.18869803Citer cette vidéo: 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
- Alexeev, V., Donagi, R., Farkas, G., Izadi, E., & Ortega, A. (2015). The uniformization of the moduli space of principally polarized abelian 6-folds.
