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Title:
From seen to unseen Lagrangians via algebraic geometry
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Abstract:
I will describe a general method for proving generation of the Fukaya category F(X,D) of a Calabi-Yau manifold X, relative to an ample divisor D, by a subcategory of for which homological mirror symmetry (HMS) has already been proved. The argument, which was discovered independently and concurrently by the author and by Nick Sheridan, leverages homological algebra and Hodge theory for the mirror family. Besides its significance for proving HMS theorems, the argument is also a scheme for using algebraic geometry to obtain information in symplectic topology.
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