19/02/2020, 15:00 — 16:00 — Sala P3.10, Pavilhão de Matemática
Helge Ruddat, Gutenberg University
Finite order period integrals in normal crossing K3 degenerations
I am presenting a new technique to compute period integrals of degenerating Calabi-Yau manifolds. In the K3 case, the formula can be used to study the Picard group of nearby fibres. In general, the technique leads to canonical parametrizations of degenerating families at the boundary of the moduli space. The result enters ongoing work by Gross-Hacking-Keel-Siebert on a modular compactification of the family of g-polarized K3 surfaces. This is joint with Bernd Siebert.