Fukaya categories of Calabi-Yau hypersurfaces

Fukaya categories of Calabi-Yau hypersurfaces - Paul Seidel

Paul Seidel
Massachusetts Institute of Technology; Member, School of Mathematics
April 9, 2018

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.