Date/heure
17 juin 2024
14:00 - 15:00
Lieu
Salle de conférences Nancy
Oratrice ou orateur
Chenyu Bai
Catégorie d'évènement Séminaire de géométrie complexe
Résumé
Voisin’s work, which constructs a series of K-trivial varieties from cubic hypersurfaces, and self-rational maps on them, called the Voisin maps, will be the focus here. Notable among these is the Fano variety of lines of a cubic fourfold, a dimension 4 hyper-Kähler manifold. The Voisin map in this case has been extensively studied. We’ll examine higher-dimensional examples, which are all strict Calabi-Yau manifolds. This session aims to study the geometry of these manifolds and apply their structural insights to the conjectures on algebraic cycles such as the generalised Bloch conjecture. The results presented here are written in a recent preprint paper: arxiv 2404.10138.