Algebraic Geometry Seminar
Yu-Shen Lin
Boston University
SYZ Mirror Symmetry of Log Calabi-Yau Surfaces
Abstract: The Strominger-Yau-Zaslow conjecture predicts Calabi-Yau manifolds
admit special Lagrangian fibrations and provides a recipe for the
mirror construction. In this talk, I will explain the existence of
special Lagrangian fibrations in certain log Calabi-Yau surfaces.
Moreover, with the suitable mirror map the special Lagrangian
fibrations on the mirror pairs are dual to each other. The study of
these special Lagrangian fibrations also accidentally proved the
Torelli theorems of certain types of gravitational instantons.
Moreover, these setup the foundation for the equivalence of certain
open Gromov-Witten invariants and log Gromov-Witten invariants.
Monday April 28, 2025 at 3:00 PM in 636 SEO