Date/heure
6 janvier 2020
15:30 - 16:30
Oratrice ou orateur
Frank Gounelas
Catégorie d'évènement Séminaire de géométrie complexe
Résumé
Bogomolov and Mumford proved that every projective K3 surface contains a rational curve. Since then, a lot of progress has been made by Bogomolov, Chen, Hassett, Li, Liedtke, Tschinkel and others, towards the stronger statement that any such surface in fact contains infinitely many rational curves. In this talk I will present joint work with Xi Chen and Christian Liedtke completing the remaining cases of this conjecture in characteristic zero, reproving some of the main previously known cases more conceptually and extending the result to arbitrary genus.