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?
For a topological group, a spectrum with -action is a spectrum equipped with an action of . In other words, it is a functor from to the (infinity,1)-category of spectra. The stable homotopy theory of spectra with -action is part of the subject of equivariant stable homotopy theory.
Spectra with -action are sometimes called “doubly naive” -spectra. They are even more naive than naive G-spectra, and can be identified with the full subcategory of G-spectra consisting of “Borel-complete” -spectra (see Prop. 6.17 in MNN or Thm. II.2.7 in NS).
Akhil Mathew, Niko Naumann, Justin Noel, Nilpotence and descent in equivariant stable homotopy theory, Adv. Math. 305 (2017), 994–1084, arXiv:1507.06869.
Thomas Nikolaus, Peter Scholze, On topological cyclic homology, arXiv:1707.01799.
Last revised on December 19, 2017 at 12:40:03. See the history of this page for a list of all contributions to it.