Orateur : Ignacio Barros
Établissement : University of Antwerp (Belgium)
Dates : 2024-11-28 – 2024-11-28
Heures : 15:30 – 15:30
Lieu : Salle 0-6
Résumé :
In this talk, I will discuss mainly the divisor geometry of the moduli space of K3 surfaces. We study the effective cone of the moduli space of polarized K3 surfaces. In joint work, we develop tautological pull-back formulas for special cycles on orthogonal modular varieties. As a consequence, we exhibit many extremal divisors on moduli spaces of K3 surfaces and HK varieties. I will also discuss the structure of the NL-cone and the difference with the effective cone of these moduli spaces.
The talk is based on joint work in progress with L. Flapan and R. Zuffetti building on earlier results obtained in joint work with P. Beri, L. Flapan, and B. Williams.