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Fields of definition of Fukaya categories of Calabi-Yau hypersurfaces

Presented by: 
Paul Seidel Massachusetts Institute of Technology
Date: 
Monday 14th August 2017 - 10:00 to 11:00
Venue: 
INI Seminar Room 1
Abstract: 
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.
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Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons