Topology of spaces of knots

Ryan Budney (University of Victoria)

Monday 7th October, 2013 16:00-17:00 Maths 204


I will outline what is known about the homotopy-type of spaces of embeddings, paying particular attention to operads and their actions on knot spaces, the relations with geometrization and finite-type invariants via the Goodwillie-Weiss Calculus of Functors.  The most recent developments in this subject involve the interaction of operad actions on knot spaces and the "Taylor tower" associated to the functor calculus. 

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