Joint Harvard-CUHK-YMSC Differential Geometry: Tropical Lagrangian multi-sections and locally free sheaves

SEMINARS

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March 1, 2022 8:30 pm - 9:30 pm
Speaker:

Dr. Yat-Hin SUEN - IBS-Center for Geometry and Physics, Korea


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.


Zoom Link: https://cuhk.zoom.us/j/95804207557

Meeting ID: 958 0420 7557; Passcode: 20220302