Seminario di Geometria: Fabien Pazuki (University of Copenhagen)

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Seminario di Geometria: Fabien Pazuki (University of Copenhagen)
Giovedì 12 dicembre alle ore 14:15, Fabien Pazuki (University of Copenhagen) terrà il seminario di Geometria dal titolo "Parallelogram inequality for abelian varieties and applications".

Abstract: Let $A$ be an abelian variety defined over a number field. A theorem of Rémond states that for any two finite subgroup schemes $G, H$, the Faltings height of the four isogenous abelian varieties $A/G, A/H, A/(G+H), A/(G\cap H)$ are linked by an elegant inequality. The goal of the talk is to present an analogous inequality for abelian varieties defined over function fields, and discuss some applications in diophantine geometry. This is joint work with Richard Griffon and Samuel Le Fourn.

Il seminario si svolgerà in presenza nell'aula M1. Per ulteriori informazioni, si può contattare gli organizzatori all'email amos.turchet@uniroma3.it.
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