Speaker
Yuto Yamamoto, RIKEN iTHEMS
Abstract
For a maximally degenerate Calabi–Yau variety, the Berkovich retraction associated with a good minimal dlt model is regarded as an SYZ fibration in non-archimedean geometry. In general, the integral affine structure induced on the base space of the fibration differs from the one defined for the dual intersection complex of a toric degeneration in the Gross–Siebert program. In this talk, using tropical geometry, we construct non-archimedean SYZ fibrations whose bases are integral affine manifolds appearing in the Gross–Siebert program for Calabi–Yau complete intersections of Batyrev–Borisov.