Séminaire Algèbre Géométrie Algébrique Topologie Algébrique :

Le 17 novembre 2022 à 10:00 - salle 430

Présentée par Macrì Emanuele -

Lagrangian fibrations on hyper-Kähler fourfolds

I will present joint work with Olivier Debarre, Daniel Huybrechts and Claire Voisin on the SYZ hyper-Kähler conjecture for fourfolds under certain topological assumptions. As application, this proves a conjecture by O'Grady that a hyper-Kähler fourfold whose cohomology ring is isomorphic to the one of the Hilbert square of a K3 surface is a deformation of a Hilbert square.