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The uniformization of the moduli space of abelian 6-folds
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Authors : Farkas, Gavril (Author of the conference)
CIRM (Publisher )
14H10 - Families, moduli (algebraic)
14H40 - Jacobians, Prym varieties
14J40 - Algebraic $n$-folds ($n>4$)
CIRM (Publisher )
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Abstract :
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.
MSC Codes : 14H10 - Families, moduli (algebraic)
14H40 - Jacobians, Prym varieties
14J40 - Algebraic $n$-folds ($n>4$)
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 02/12/15 Conference Date : 27/10/15 Subseries : Research talks arXiv category : Algebraic Geometry Mathematical Area(s) : Algebraic & Complex Geometry Format : MP4 (.mp4) - HD Video Time : 01:00:55 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2015-10-27_Farkas.mp4 
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Information on the Event
Event Title : Moduli spaces in geometry / Espaces de modules en géométrieEvent Organizers : Ayoub, Joseph ; Schmitt, Alexander ; Teleman, Andrei Dates : 26/10/15 - 30/10/15 Event Year : 2015 Event URL : http://conferences.cirm-math.fr/1139.html
Citation Data
DOI : 10.24350/CIRM.V.18869803Cite 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 |
Bibliography
- Alexeev, V., Donagi, R., Farkas, G., Izadi, E., & Ortega, A. (2015). The uniformization of the moduli space of principally polarized abelian 6-folds.
