Title: A Tale of Two Towers
Speaker: Rosona Eldred
Speaker Info: University of Illinois
By using formal properties of the theory of Calculus of Functors to spectra, in joint work with Bauer, Johnson and McCarthy we showed that two constructions suggested by the observations of Waldhausen and Rezk for de Rham cohomology for $E_\infty$ algebras always agree.Date: Monday, October 04, 2010
Recently, Goodwillie suggested a possible equivalence of homotopy limit towers that would imply a strengthening of the results, extending to spaces and not just spectra. I will present a proof of this statement and some of its consequences.