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

Time: Tue 2024-10-15 11.00 - 12.00

Location: Cramer room, Albano

Participating: Kaif Hilman (MPI Bonn)

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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.