EVENT DETAILS AND ABSTRACT

Title: Toric geometry and integral affine structures in non-archimedean mirror symmetry
Speaker: Enrica Mazzon
Speaker Info: University of Michigan
Brief Description:
Special Note:
Abstract:

The SYZ conjecture is a conjectural geometric explanation of mirror symmetry. Based on this, Kontsevich and Soibelman proposed a non-archimedean approach to mirror symmetry. This led to the notion of essential skeleton and the construction of non-archimedean SYZ fibrations by Nicaise-Xu-Yu. In this talk, I will introduce these objects and report on recent results extending the approach of Nicaise-Xu-Yu. This yields new types of non-archimedean retractions. For families of quartic K3 surfaces and quintic 3-folds, the new retractions relate nicely with the results on the dual complex of toric degenerations and on the Gromov-Hausdorff limit of the family. This is based on a work in progress with Léonard Pille-Schneider.