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Alexander Kupers: Embedding calculus for surfaces

Time: Thu 2022-01-27 14.15 - 16.00

Location: Zoom

Video link: Meeting ID: 921 756 1880

Participating: Alexander Kupers (University of Toronto)

Abstract: I will explain why the Goodwillie–Weiss’ embedding calculus converges for spaces of embeddings into a manifold of dimension at most two, so in particular for diffeomorphisms between surfaces, unlike in higher dimensions. We also relate the Johnson filtration of the mapping class group of a surface to a certain filtration arising from embedding calculus. This is joint work with Manuel Krannich.