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Graduate Student Geometry-Topology Seminar

Friday, December 1, 2023 - 2:15pm

Emmett Lennan



University of Pennsylvania

DRL 2N36

A Fukaya category of a symplectic manifold has objects as certain Lagrangian submanifolds with a certain A-infinity category structure. In this talk, we take on the arduous task of attempting to define a Fukaya category. We will begin with some basic symplectic geometry leading to motivation coming from Lagrangian Floer (co)homology. We then work to understand A-infinity categories before finally tackling Fukaya categories.