Homotopy Theory Seminar
Sarah Yeakel
UIUC
A chain rule for Goodwillie calculus
Abstract: In the homotopy calculus of functors, Goodwillie defined a way of assigning a Taylor tower of polynomial functors to a homotopy functor and identified the homogeneous pieces as being classified by certain spectra, called the derivatives of the functor. Michael Ching showed that the derivatives of the identity functor of spaces form an operad, and Arone and Ching developed a chain rule for composable functors. We will review these results and show that through a slight modification to the definition of derivative, we have found a more straight forward chain rule for endofunctors of spaces.
Wednesday October 7, 2015 at 3:00 PM in SEO 1227