Number Theory Seminar: Fabien Pazuki (University of Copenhagen)

Title: 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.

Please note the unusual time and location!

Spiegelgasse 1, Seminarraum 00.003

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