| Saturday 28 December 2024 | |
| Events for day: Monday 17 April 2023 |
| 15:00 - 16:30 Lecture Green-Griffiths-Lang's Conjecture on Complex Ball Quotients School MATHEMATICS In 1983, Faltings proved that a smooth projective curve of genus >1 defined over Q has only finitely many rational points. Green, Griffiths and Lang stated a conjecture on a generalization of Faltings' theorem to higher-dimensional varieties. This conjecture predicts that if a smooth quasi projective variety defined satisfies some hyperbolicity properties, then it can only have finitely many rational points. Motivated by this conjecture, we found an intrinsic condition on complex ball quotients ensuring that they satisfy hyperbolicity properties required in the conjecture. More precisely, we showed that all subvarieties of a complex ball quo ... |