EVENT DETAILS AND ABSTRACT

Title: On the tropicalization of special Lagrangians in K3-fibered Calabi-Yau 3-folds
Speaker: Yu-Shen Lin
Speaker Info: Boston University
Brief Description:
Special Note:
Abstract:

Special Lagrangian submanifolds are an important class of minimal submanifolds in Calabi-Yau manifolds. However, there are not many known examples in compact Calabi-Yau manifolds due to the lack of knowledge of behavior of the Calabi-Yau metric. In this talk, we will explain a construction of special Lagrangian 3-spheres in Calabi-Yau 3-folds with K3-fibration, when the K3 fibres are collapsing. Moreover, these special Lagrangians converge to an interval in the sense of Gromov-Hausdorff under the adiabatic limit. This phenomenon is similar to the folklore conjecture: the holomorphic curves in Calabi-Yau manifolds with special Lagrangian fibration converge to tropical curves in the base when the fibrations are collapsing. We will also discuss the relation with the Thomas-Yau conjecture. This is a joint work with Shih-Kai Chiu.