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Fields of definition of Fukaya categories of Calabi-Yau hypersurfaces

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SYGW05 - Symplectic geometry - celebrating the work of Simon Donaldson

Fukaya categories are algebraic structures (in fact, families of such structures) associated to symplectic manifolds. Kontsevich has emphasized the role of these structures as an intrinsic way of thinking of the “mirror dual” algebraic geometry. If that viewpoint is to be fruitful, Fukaya categories of specific classes of manifolds should exhibit deeper structural features, which reflect aspects of the “mirror geometry”. I will explain what one can expect in the case of Calabi-Yau hypersurfaces in a Lefschetz pencil.

This talk is part of the Isaac Newton Institute Seminar Series series.

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