Date/heure
16 janvier 2023
14:00 - 15:00
Lieu
Salle de conférences Nancy
Oratrice ou orateur
Ya Deng
Catégorie d'évènement Séminaire de géométrie complexe
Résumé
It is natural to ask whether one can characterize the hyperbolicity of algebraic varieties via their topology. In this talk, I will answer this question if their fundamental groups admit a linear representation. Precisely, I will give a sharp condition for the hyperbolicity of complex quasi-projective varieties via representation of fundamental groups. This fits well with the prediction of the strong Green-Griffiths-Lang conjecture. As an application, fundamental groups of special quasi-projective varieties must have nilpotent linear quotient, thus proving a conjecture by Campana in the linear case. For colleagues who have interest in the proof, I will use some extra time to briefly explain the strategy of the proof, which is based on Nevanlinna theories, and non-abelian Hodge theories in both Archimedean and non-archimedean settings. This work is based on two joint works with Brotbek-Daskalopoulos-Mese, and Cadorel-Yamanoi.