Alexander Kupers: Embedding calculus for surfaces

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.