Georg Oberdieck: Gromov–Witten theory of K3 surfaces

Abstract:

It has been conjectured that the Gromov–Witten invariants of a K3 or abelian surface for arbitrary curve classes are determined by those for primitive curve classes by a simple multiple cover rule. The primitive invariants in turn are known, so the conjecture would determine the entire Gromov–Witten theory of K3 and abelian surfaces. In this talk, after giving some gentle introduction to the problem and known results, I will report on joint work in progress with Rahul Pandharipande in which we aim to prove this conjecture.