# 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.