Workshop "Operads and Homotopy Theory"


"Koszul duality for operads with applications to Goodwillie calculus"
by Michael Ching

I'll discuss Koszul duality of operads in a general context that includes both topological and algebraic settings. Then I'll talk about some applications to Goodwillie calculus. In particular I'll explain how the Goodwillie tower for a functor of rational spaces is determined by its derivatives, considered as a bimodule over the Lie operad. Much of this is joint with Greg Arone.


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