Erwan Rousseau, Université d'Aix-Marseille:
Curves in Hilbert modular varieties
Zeit und Ort
Freitag, 8.5.15, 10:15-11:15, Raum 404, Eckerstr. 1
Zusammenfassung
Abstract: We study curves in Hilbert modular varieties from the point of view of the Green-Griffiths-Lang conjecture claiming that entire curves in complex projective varieties of general type should be contained in a proper subvariety. Using holomorphic foliations theory, we establish the Second Main Theorem in this context as well as a function field analogue of Vojta's conjecture. We also establish the strong Green-Griffiths-Lang conjecture for Hilbert modular varieties up to finitely many possible exceptions. (Joint work with F. Touzet)