Conférencier: Yohan Brunebarbe, Université de Bordeaux

Résumé / Abstract:In this talk, I will introduce the so-called Arakelov inequalities (due to Arakelov, Faltings, Peters, Deligne, etc.) that one gets from an abelian scheme or more generally from a variation of Hodge structures on a curve. I will then discuss a generalization of these inequalities to higher-dimensional basis, and explain how they can be used to prove hyperbolicity properties of some moduli spaces of varieties.