Samir Canning, ETH Zürich
The intersection theory of the moduli space of K3 surfaces polarized by a lattice is a subject of recent interest because of its deep connections with a wide variety of mathematics, including the intersection theory of moduli spaces of curves and the study of modular forms. Oprea and Pandharipande conjectured that the tautological rings of these moduli spaces of K3 surfaces are highly structured in a way that mirrors the picture for the moduli space of curves. I will explain how to compute the Chow ring of the moduli space of degree 2 quasi-polarized K3 surfaces, which consequently proves the conjecture in this case.
This is joint work with Dragos Oprea and Rahul Pandharipande.