Some enumerative problems on K3 surfaces: an overview [1]

Abstract:

Several enumerative problems on a K3 surfaces, like counting Fourier--Mukai partners, Kummer structures or Enriques quotients, admit an answer in terms of lattice theory. The resulting counting formulas share a common pattern. I will give an overview of the known results, focusing especially on the enumeration of jacobian elliptic fibrations (joint work with Dino Festi).

Link Webex [2]