On Floer cohomology and non-archimedian geometry

On Floer cohomology and non-archimedian geometry

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Mohammed Abouzaid, Columbia University
IAS - Simonyi Hall Seminar Room SH-101

Ideas of Kontsevich-Soibelman and Fukaya indicate that there is a natural rigid analytic space (the mirror) associated to a symplectic manifold equipped with a Lagrangian torus fibration. I will explain a construction which associates to a Lagrangian submanifold a sheaf on this space, and explain how this should be the mirror functor.