105 citations · 251 across the 33 of their papers we have counts for
17 papers · 1 filter
The Galois theory of -spectra and the Burnside ring
Niko Naumann, Luca Pol, Maxime Ramzi
We prove that the Galois groupoid of the category of -spectra for a finite group is algebraic, i.e. equivalent to the étale fundamental groupoid of the Burnside ring of .…
A symmetric monoidal fracture square
Niko Naumann, Luca Pol, Maxime Ramzi
Given a symmetric monoidal stable -category which is rigidly-compactly generated and a set of compact objects of , one can form the…
Separable commutative algebras in equivariant homotopy theory
Niko Naumann, Luca Pol, Maxime Ramzi
Given a finite group and a commutative ring -spectrum , we study the separable commutative algebras in the category of compact -modules. We isolate three conditions on…
Separable commutative algebras and Galois theory in stable homotopy theories
Niko Naumann, Luca Pol
We relate two different proposals to extend the étale topology into homotopy theory, namely via the notion of finite cover introduced by Mathew and via the notion of separable comm…
Quillen stratification in equivariant homotopy theory
Tobias Barthel, Natalia Castellana, Drew Heard +2
We prove a version of Quillen's stratification theorem in equivariant homotopy theory for a finite group , generalizing the classical theorem in two directions. Firstly, we work…
On conjectures of Hovey--Strickland and Chai
Tobias Barthel, Drew Heard, Niko Naumann
We prove the height two case of a conjecture of Hovey and Strickland that provides a -local analogue of the Hopkins--Smith thick subcategory theorem. Our approach first reduc…