Number Theory Seminar

Speaker: Simon Rose (Bonn)

Title: Beyond hyperelliptic curves on abelian surfaces.

Abstract: If one is willing to assume the crepant resolution conjecture, then there is a beautiful formula which provides a generating function for the number of hyperelliptic curves on a polarized abelian surface in terms of certain quasi-modular forms. In this talk I will go over this formula, and talk about a number of other natural other ideas that arise from looking at this problem, including mirror symmetry, Hurwitz-Hodge integrals, and Shioda-Inose K3 surfaces.