| Speaker: | Kota Yoshioka (Kobe U) |
|---|---|
| Title: | Beauville's examples of irreducible symplectic manifolds and the cones conjecture of Kawamata and Morrison |
| Date (JST): | Mon, Dec 01, 2014, 14:00 - 17:00 |
| Place: | Seminar Room A |
| Abstract: |
Beauville constructed two series of irreducible symplectic manifolds starting from Hilbert scheme of points on K3 or abelian surfaces. For these manifolds, the Nef and movable cones have round boundary faces in general. In my talk, I will explain that the Nef cone has a rational polyhedral fundamental domain for the action of the automorphism group. Thus the Kawamata and Morrison's cone conjecture holds for these manifolds. In the first talk, I will explain Beauvilles examples and give easy examples of Nef and movable cones. In the second talk, I will explain a more detail on the sutucture of the Nef cone and give a proof of the cone conjecture for Beauville's examples. This is a joint work with Eyal Markman (University of Massachusetts). |
| Remarks: | 15:00-15:30 break |
