3/1/2022 Joint Harvard-CUHK-YMSC Differential Geometry Seminar

Speaker: Yat-Hin Suen (IBS-Center for Geometry and Physics, Korea)

Title: Tropical Lagrangian multi-sections and locally free sheaves

Abstract: The SYZ proposal suggests that mirror symmetry is T-duality. It is a folklore that locally free sheaves are mirror to a Lagrangian multi-section of the SYZ fibration. In this talk, I will introduce the notion of tropical Lagrangian multi-sections and discuss how to obtain from such object to a class of locally free sheaves on the log Calabi-Yau spaces that Gross-Siebert have considered. I will also discuss a joint work with Kwokwai Chan and Ziming Ma, where we proved the smoothability of a class of locally free sheaves on some log Calabi-Yau surfaces by using combinatorial data obtained from tropical Lagrangian multi-sections.

Related Posts