Kaif Hilman: An equivariant-to-calculus dictionary and a theorem of Glasman

Abstract

In this talk, I will sketch the proof of a refinement of a theorem of Glasman on d-excisive functors from spectra to spectra. Vaguely speaking, the method is to proceed by first completing a dictionary between genuine equivariant homotopy theory and Goodwillie calculus as suggested in recent work of Arone-Barthel-Heard-Sanders and then stratifying the problem accordingly. If time permits, we will also see other applications of this dictionary. This reports on work-in-progress joint with Tobias Barthel and Nikolai Konovalov.