CMSA Algebraic Geometry in String Theory: Scattering Diagrams from Holomorphic Discs in Log Calabi–Yau Surfaces

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October 7, 2022 9:30 am - 10:30 am
CMSA, 20 Garden St, G10
Address: 20 Garden Street, Cambridge, MA 02138
Speaker:

Sam Bardwell-Evans - Boston University

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.

For more information on how to join, please see: https://cmsa.fas.harvard.edu/event_category/algebraic-geometry-in-string-theory/