Moduli of K3 surfaces

Moduli spaces of K3 surfaces can be constructed using many points of view in algebraic geometry, including Hodge theory, birational geometry, and invariant theory. These different perspectives often yield related but distinct compactifications of the moduli of K3 surfaces. The current understanding of these spaces is quite explicit for low degree polarized K3 surfaces but requires a significant increase in computational complexity in higher degrees. Furthermore, studying moduli of K3 surfaces informs the study of moduli of other K-trivial varieties, such as abelian varieties and Calabi-Yau manifolds, related to many open questions in algebraic geometry. The goal of this workshop is to explore connections between different perspectives on moduli of K3 surfaces and applications to other K-trivial varieties. This workshop intends to unite experts in Hodge theory, birational geometry and moduli of Calabi Yau manifolds, singularity theory, mirror symmetry, and anyone working on questions related to degenerations and deformations of K3 surfaces.