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Scattering Diagrams from Holomorphic Discs in Log Calabi-Yau Surfaces
October 7, 2022 @ 9:30 am - 10:30 am
![CMSA Algebraic Geometry in String Theory 10.07.2022](https://cmsa.fas.harvard.edu/media/CMSA-Algebraic-Geometry-in-String-Theory-10.07.2022.png)
Algebraic Geometry in String Theory Seminar
Speaker: Sam Bardwell-Evans, Boston University
Title: Scattering Diagrams from Holomorphic Discs in Log Calabi-Yau Surfaces
Abstract: In this talk, we construct special Lagrangian fibrations for log Calabi-Yau surfaces and scattering diagrams from Lagrangian Floer theory of the fibers. These scattering diagrams recover the algebro-geometric scattering diagrams of Gross-Pandharipande-Siebert and Gross-Hacking-Keel. The argument relies on a holomorphic/tropical disc correspondence to control the behavior of holomorphic discs, allowing us to relate open Gromov-Witten invariants to log Gromov-Witten invariants. This talk is based on joint work with Man-Wai Mandy Cheung, Hansol Hong, and Yu-Shen Lin.