10 jan 2019 -- 14:30
Aula Tonelli, SNS, Pisa
Seminario di Matematica della Scuola Normale Superiore
Abstract.
I will present a work with F. Campana and E. Rousseau on the hyperbolicity of geometric orbifolds. I will first recall the notion of entire curve in the category of geometric orbifolds introduced by Campana. I will briefly justify the necessity to work in this setting, which generalizes and extends the classical setting (compact setting and logarithmic setting). We will then see that the natural theory of orbifold jet differentials (that we introduce for higher orders) allows us to obtain new results, but is rather surprising in comparison with the classical setting.