Algebraic Geometry Seminar

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

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 LĂ©onard Pille-Schneider.
Date: Wednesday, February 02, 2022
Time: 3:00pm
Where: Lunt 103
Contact Person: Yuchen Liu
Contact email: yuchenl@northwestern.edu
Contact Phone:
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