| Orateur(s) | Valentino Tosatti - Northwestern University et IHP,
|
| Titre | Smooth collapsing of Ricci-flat metrics |
| Date | 20/03/2018 |
| Horaire | 14:00 à 15:00 |
|
| Résume | Consider a compact Calabi-Yau manifold with a holomorphic fibration onto a lower-dimensional space, and consider a family of Ricci-flat Kahler metrics on the total space whose Kahler class is degenerating to the pullback of a class from the base. In earlier work I proved that the metric collapse, away from the singular fibers, to a limiting metric on the base, in the locally uniform topology (and smoothly if the fibers are tori). I will describe new estimates that prove a uniform Holder bound in general, and bounds for all derivatives when the smooth fibers are isomorphic to each other. |
| Salle | Barre 15-25, 5ème étage, salle 02 |
| Adresse | Campus Pierre et Marie Curie |
