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UID:node-3096842@mathematics.huji.ac.il
DTSTAMP:20220517T150000Z
DTSTART:20220517T150000Z
DTEND:20220517T160000Z
SUMMARY:T&G: Donghao Wang (SCGP), Seidel's spectral sequence and monopole Floer homology
DESCRIPTION:The algebraic topology of a finite dimensional manifold is detected by Morse theory using a real valued Morse function, while the symplectic topology of a K ̈ahler manifold can be probed by a holomorphic Morse function using Picard-Lefschetz theory. The first viewpoint has been successfully generalized to the infinite dimensional case by Floer in late 1980s producing powerful invariants in both low dimensional topology\n\nand symplectic topology. \n\nThis talk is a progress report in attempt to generalize the second idea to one particular infinite dimensional example – the Seiberg-Witten equations, following the proposals of Haydys and Gaiotto-Moore-Witten. In particular, we will outline an alternative proof to Seidel’s spectral sequence for Lagrangian Floer cohomology, which may help us approach this infinite dimensional problem.
LOCATION:The link will be sent to you after registration
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