SYZ mirror symmetry for del Pezzo surfaces and rational elliptic surfaces

Abstract: I will discuss some aspects of SYZ mirror symmetry for pairs $(X,D)$ where $X$ is a del Pezzo surface or a rational elliptic surface and $D$ is an anti-canonical divisor.  In particular I will explain the existence of special Lagrangian fibrations, mirror symmetry for (suitably interpreted) Hodge numbers and, if time permits, I will describe a proof of SYZ mirror symmetry conjecture for del Pezzo surfaces.  

This is joint work with Adam Jacob and Yu-Shen Lin.

algebraic geometrydifferential geometrysymplectic geometry

Audience: researchers in the topic

( video )

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Geometria em Lisboa (IST)

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