A characterization of non-compact ball quotient

Date/heure
8 février 2021
15:30 - 16:30

Lieu
Exposé en ligne

Oratrice ou orateur

Catégorie d'évènement
Séminaire de géométrie complexe


Résumé

In 1988 Simpson proved a uniformization theorem which characterizes complex projective manifolds and quasi-projective curves whose universal coverings are complex unit balls. In this talk, I will give a necessary and sufficient condition for quasi-projective manifolds to be uniformized by complex unit balls, via stability of (logarithmic) Higgs bundles. This is based on a joint work with Benoit Cadorel.