* Devesh Maulik, Enumerative geometry of K3 surfaces
Description: The goal of these lectures is to give an introduction to the geometry of
K3 surfaces and their moduli, with a focus on certain enumerative
problems. After some introductory discussion, we plan to discuss the
behavior of rational curves (in particular the Yau-Zaslow formula counting
them) and the rank of the Picard group. As time permits, we will discuss
an approach to these questions using Gromov-Witten theory.
* Martin Olsson, Abelian Varieties
Description: These three lectures will be a short introduction to abelian varieties and
their moduli. I hope to discuss some aspects of Mumford's beautiful theory of algebraic
theta functions, and how it relates to the construction of moduli spaces.
* Jason Starr: Rational curves on varieties
Description: These lectures will introduce some of the basic ideas in studying rational
curves on varieties. The emphasis will be on how one uses general techniques in
algebraic geometry (sheaf cohomology, schemes, deformation theory) to prove
particular results.
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