6 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 …
Global 2-rings and genuine refinements
David Gepner, Sil Linskens, Luca Pol
We introduce the notion of a naive global 2-ring: a functor from the opposite of the -category of global spaces to presentably symmetric monoidal stable -categories…
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…
Torsion models for tensor-triangulated categories
Scott Balchin, J. P. C. Greenlees, Luca Pol +1
Given a rigidly-compactly generated tensor-triangulated category whose Balmer spectrum is finite dimensional and Noetherian, we construct a torsion model for it, which is equivalen…
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…
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…