geometric representation theory
representation, 2-representation, ∞-representation
Grothendieck group, lambda-ring, symmetric function, formal group
principal bundle, torsor, vector bundle, Atiyah Lie algebroid
Eilenberg-Moore category, algebra over an operad, actegory, crossed module
Be?linson-Bernstein localization?
This page collects material related to
Global homotopy theory
New Mathematical Monographs, 34
Cambridge University Press, 2018
xvi+828 pp
on global equivariant stable homotopy theory in terms of orthogonal spectra.
(The reader interested only in plain stable homotopy theory takes the collection of groups on p. viii to be trivial throughout, to get just the theory of non-equivariant orthogonal spectra. See also the Schwede’s lecture notes on Symmetric spectra.)
Stefan Schwede, Lectures on Equivariant Stable Homotopy Theory
Charles Rezk, Global Homotopy Theory and Cohesion (on global homotopy theory being a cohesive (infinity,1)-topos)
Stefan Schwede, Orbispaces, orthogonal spaces, and the universal compact Lie group (arXiv:1711.06019) (on the relation to orbispaces/topological stacks)
Stefan Schwede, Advanced Topics in Topology (V5D1): Global homotopy theory (Summer term 2020) course website (includes list of lectures and bonus material, links to videos),
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