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Miniseries "Local methods in categorical symplectic geometry"

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Barthel, Ozornova, Ray, Teichner
Mon, 24/01/2022 - 15:00 - 16:00

Miniseries abstract: The Fukaya category is an invariant of a symplectic manifold governing the intersection theory of its Lagrangian submanifolds, built from the pseudoholomorphic disks which bound these Lagrangians. One particularly important version for non-compact symplectic manifolds is the partially wrapped Fukaya category, which plays a prominent role in homological mirror symmetry. This miniseries will lead up to a toolbox for computing and studying structural properties of partially wrapped Fukaya categories. One of the key tools is a descent formula, i.e. a cosheaf property with respect to Weinstein sectorial coverings. We will emphasize concrete examples, and homological mirror symmetry will be a recurring point of reference.

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