Yohan Brunebarbe
Title: Higher-dimensional Arakelov inequalities and applications to hyperbolicity
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.