Date/heure
24 novembre 2025
14:00 - 15:00
Lieu
Salle de conférences Nancy
Oratrice ou orateur
Francesca Rizzo
Catégorie d'évènement Séminaire de géométrie complexe
Résumé
EPW cubes are six-dimensional projective hyper-Kähler varieties constructed by Iliev, Kapustka, Kapustka, and Ranestad. Their construction and properties share many similarities with the double EPW sextics introduced by O’Grady. Both double EPW sextics and EPW cubes belong to the few known families of hyper-Kähler varieties for which one can give a geometric description of a general element in the moduli space. Moreover, both admit an anti-symplectic involution whose fixed locus is a Lagrangian submanifold.
In this talk we will review the theory of hyper-Kähler varieties and the role of Lagrangian subvarieties. We will then talk about EPW cubes, and present some recent results on the fixed locus of the anti-symplectic involution.