Valery Alexeev, University of Georgia, Athens, USA

On compactifications of moduli spaces of K3 surfaces

Abstract

I will consider the problem of constructing a geometrically meaningful compactification of the moduli space of polarized K3 surfaces. A general method for constructing such compactifications is provided by the Minimal Model Program, and the case of abelian varieties serves as the primary example. I will discuss how much of the theory can be extended to the K3 surface case, and will compute the compactifications is several special cases.