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DTSTART;TZID=America/New_York:20220302T093000
DTEND;TZID=America/New_York:20220302T223000
DTSTAMP:20240301T113401Z
CREATED:20240214T092842Z
LAST-MODIFIED:20240301T113401Z
UID:10002629-1646213400-1646260200@cmsa.fas.harvard.edu
SUMMARY:Tropical Lagrangian multi-sections and locally free sheaves
DESCRIPTION: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.
URL:https://cmsa.fas.harvard.edu/event/3-1-2022-joint-harvard-cuhk-ymsc-differential-geometry-seminar/
CATEGORIES:Joint Harvard-CUHK-YMSC Differential Geometry
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/20220302_Yat-Hin-SUEN_poster-1.png
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