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Algebraic structures in symplectic geometry II

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Nate Bottman
Tue, 23/05/2023 - 16:30 - 18:00
MPIM Lecture Hall
Parent event: 
IMPRS Minicourse

Contact: Christian Kaiser


Ever since seminal work of Gromov, Floer, Donaldson, and Fukaya in the late 80s and early 90s, a major theme in symplectic geometry has been the construction of invariants defined in terms of moduli spaces of J-holomorphic curves. In this minicourse, I will explain some of these invariants, and describe how creative use of auxiliary moduli spaces of J-curves can equip these invariants with extra structure. The main reference will be my survey article with Abouzaid, . I will not assume any prior knowledge of symplectic geometry.

    lecture 1: Lagrangian Floer cohomology, the Fukaya category, associahedra and their operadic structure
    lecture 2: J-holomorphic quilts, functors between Fukaya categories, witch balls, the symplectic (A-infinity,2)-category
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