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.

algebraic geometryanalysis of PDEsalgebraic topologycomplex variablesdifferential geometrygeneral topologygeometric topologyK-theory and homologymetric geometrysymplectic geometry

Audience: researchers in the topic

CRM - Séminaire du CIRGET / Géométrie et Topologie

Series comments: Hybrid seminar of geometry and topology. Laboratory : CIRGET - www.cirget.uqam.ca The homepage of the seminar is www.cirget.uqam.ca/fr/seminaires.html

[[Please leave your micro off when entering the seminar room and provide your family name and first name in order to be identified by the speaker.]]

The livestream is on Zoom at : uqam.zoom.us/j/98999725241 (no password is needed).

The recorded talks can be found at CIRGET channel : www.youtube.com/channel/UCLkFm-uEvXSf9y-iQtWOLWA