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Victor Turchin: Manifold functor calculus, embedding spaces and the operad of little discs

Time: Wed 2018-12-19 13.15 - 15.00

Location: Room 3418, KTH

Participating: Victor Turchin (Kansas State University)

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The functor calculus on manifolds was invented by Thomas Goodwillie and Michael Weiss in order to study spaces of embeddings. This approach can be seen as a generalization of the Smale–Hirsch–Gromov h-principle that allows one to reduce difficult geometrical problems to homotopy theoretical ones. Similarly to the h-principle it can be algebraically interpreted as a homotopy sheafification of topological presheaves on smooth manifolds. In my talk I will give a short introduction to the functor calculus. I will explain how it is used in the study of embedding spaces and how the little discs operad comes to interplay.

Belongs to: Stockholm Mathematics Centre
Last changed: Dec 10, 2018