Rosona Eldred: Comparing the homotopy functor calculi

ABSTRACT: In the 90s, Goodwillie developed a calculus of homotopy functors of spaces/spectra, which gave rise to other variants, such as the orthogonal calculus of Weiss for functors of real inner product spaces.

I will report on joint work with David Barnes wherein we formalize the comparison of these two theories, which involves making rigorous the folk result that n-excisive implies n-polynomial.