June 21, 2018 - This talk was part of the 2018 RTG mini-conference Low-dimensional topology and its interactions with symplectic geometry

The bordered Floer homology of a 3-manifold with torus boundary determines an object in the Fukaya category of the punctured torus. This object takes the form of a collection of immersed curves equipped with local systems. I'll discuss some geometrical properties of this collection of curves, and give some applications to problems about L-spaces. This is joint work with Jonathan Hanselman and Liam Watson.

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