Ordinary abelian varieties: isogeny graphs and polarizations
Christelle Vincent (UPF/University of Vermont)
| Mon May 4, 22:30-23:30 (starts in 32 hours) | |
| Lecture held in UPF G3-2. |
Abstract: In this talk we introduce briefly Deligne's correspondence between ordinary abelian varieties defined over finite fields and a certain category of $\mathbb{Z}$-modules. Then we show how to use this correspondence to compute isogenies between such abelian varieties, including polarizations. Finally, we will discuss phenomena that arise for higher dimensional abelian varieties but not elliptic curves, and discuss features of isogeny graphs in this setting.
Mathematics
Audience: researchers in the topic
Series comments: After the first seminar the room is G3-2.
There is no seminar the following dates in 2026 because of school holidays: Feb 16, Apr 6, May 25. There is also no seminar on April 13.
There is no seminar during the SAGA^2 conference which is March 16 to March 20 saga2.gaati.org/about/
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Après le premier séminaire, la salle sera G3-2.
Il n’y aura pas de séminaire aux dates suivantes en 2026 en raison des vacances scolaires : 16 février, 6 avril et 25 mai. Il n'y aura pas de séminaire le 13 avril.
Il n’y aura pas de séminaire pendant la conférence SAGA^2, qui se déroulera du 16 au 20 mars. saga2.gaati.org/about/
| Organizers: | Taylor Dupuy*, Alexander Rahm, Christelle Vincent* |
| *contact for this listing |