Family Floer theory for toric manifolds

Abstract: Given a Lagrangian fibration, my recent work gives a natural construction of a rigid analytic space and a global Landau-Ginzburg potential, based on Fukaya’s family Floer theory and non-archimedean geometry. In this talk, I will discuss my work in progress, which explains how to apply this construction to the toric manifolds. Specifically, I will discuss the moment map fibration on a toric manifold and the Gross’s fibration on a toric Calabi-Yau manifold. I will explain how the outcomes are related to the previous works of Cho-Oh, Fukaya-Oh-Ohta-Ono, Chan-Lau-Leung, and Abouzaid-Auroux-Katzarkov.

algebraic geometrydifferential geometryquantum algebrasymplectic geometry

Audience: researchers in the topic

Boston University Geometry/Physics Seminar

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