Fukaya categories of Calabi-Yau hypersurfaces

Fukaya categories of Calabi-Yau hypersurfaces

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Paul Seidel, MIT / IAS
IAS Room S-101

Consider a Calabi-Yau manifold which arises as a member of a Lefschetz pencil of anticanonical hypersurfaces in a Fano variety. The Fukaya categories of such manifolds have particularly nice properties. I will review this (partly still conjectural) picture, and how it constrains the field of definition of the Fukaya category.