30 September 2025 to 3 October 2025
Palazzo del Castelletto
Europe/Rome timezone

Divisors on moduli spaces of K3 surfaces

1 Oct 2025, 10:00
1h
Aula Dini (Palazzo del Castelletto)

Aula Dini

Palazzo del Castelletto

Via del Castelletto, 17/1, 56126 Pisa PI

Speaker

Prof. Ignacio Barros (University of Antwerp, Antwerp)

Description

We will discuss various aspects of the divisor geometry of moduli spaces of K3 surfaces. We provide a finite generating set of Noether—Lefschetz divisors for the Picard group, study the structure of the NL-cone, and establish numerical criteria for when a NL divisor on a moduli space of quasi-polarized K3 surfaces $F_{2d}$, or more generally on an orthogonal modular variety, generates an extremal ray in the cone of pseudoeffective divisors. This is based on joint works with L. Flapan, R. Zuffetti, and Shi He.

Primary author

Prof. Ignacio Barros (University of Antwerp, Antwerp)

Presentation materials

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