Summer School 2020: Motivic, Equivariant and Non-commutative Homotopy Theory

Collection Summer School 2020: Motivic, Equivariant and Non-commutative Homotopy Theory

Organizer(s) Organising Committee: Aravind Asok (University of Southern California), Frédéric Déglise (CNRS Dijon), Grigory Garkusha (Swansea University), Paul Arne Østvær (University of Oslo) Scientific Committee: Eric M. Friedlander (University of Southern California), Haynes R. Miller (MIT Department of Mathematics), Bertrand Toën (CNRS Toulouse)
Date(s) 06/07/2020 - 17/07/2020
linked URL https://indico.math.cnrs.fr/event/5160/
00:00:00 / 00:00:00
16 28

An equivariant infinite loop space machine is a functor that constructs genuine equivariant spectra out of simpler categorical or space level data. In the late 80’s Lewis–May–Steinberger and Shimakawa developed generalizations of the operadic approach and the G-space approach respectively. In this talk I will report on joint work with Bert Guillou, Peter May and Mona Merling on adapting these machines to work multiplicatively and on understanding their categorical input.

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