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Semi-orthogonal decompositions in Fukaya-Seidel mirrors


Speaker: Catherine Cannizzo, UC Berkeley
Location: 2112 MSB
Start time: Tue, Mar 12 2024, 2:10PM

The Fukaya category is an algebraic invariant of symplectic manifolds, where Lagrangian submanifolds are objects, and their intersections are morphisms; Seidel adapted this category to symplectic Lefschetz fibrations. Mirror symmetry connects the symplectic geometry of one manifold to the complex geometry of its mirror. We will outline how a blow-up of a complex manifold along a submanifold is mirror to wrapping of Lagrangians around a puncture on the symplectic side. This is joint work with Sara Venkatesh.