11 citations · 26 across the 15 of their papers we have counts for
17 papers
Descent and finite permutation resolutions for discrete groups
Juan Omar Gómez, Luca Pol
Let be a discrete group with a finite-dimensional model for the classifying space for proper actions, and let be a commutative Noetherian ring of finite global dimension. I…
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 representation theory: Homological foundations
Miguel Barrero, Tobias Barthel, Luca Pol +2
A global representation is a compatible collection of representations of the outer automorphism groups of the groups belonging to some collection of finite groups . Gl…
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…
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…
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…
Descent in tensor triangular geometry
Tobias Barthel, Natalia Castellana, Drew Heard +3
We investigate to what extent we can descend the classification of localizing, smashing and thick ideals in a presentably symmetric monoidal stable -category …
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 free global spectra
Luca Pol
In this note we define and study free global spectra: global spectra with non-trivial geometric fixed points only at the trivial group. We show that free global spectra often do no…
Global homotopy theory via partially lax limits
Sil Linskens, Denis Nardin, Luca Pol
We provide new -categorical models for unstable and stable global homotopy theory. We use the notion of partially lax limits to formalize the idea that a global object is a…
Local Gorenstein duality in chromatic group cohomology
Luca Pol, Jordan Williamson
We consider local Gorenstein duality for cochain spectra on the classifying spaces of compact Lie groups over complex orientable ring spectra . We show that it h…
Representation stability and outer automorphism groups
Luca Pol, Neil P. Strickland
In this paper we study families of representations of the outer automorphism groups indexed on a collection of finite groups . We encode this large amount of data into…
Torsion models for tensor-triangulated categories: the one-step case
Scott Balchin, J. P. C. Greenlees, Luca Pol +1
Given a suitable stable monoidal model category and a specialization closed subset of its Balmer spectrum one can produce a Tate square for decomposing objects in…
The homotopy theory of complete modules
Luca Pol, Jordan Williamson
Given a commutative ring and finitely generated ideal , one can consider the classes of -adically complete, -complete and derived -complete complexes. Under a m…
The Left Localization Principle, completions, and cofree -spectra
Luca Pol, Jordan Williamson
We show under mild hypotheses that a Quillen adjunction between stable model categories induces another Quillen adjunction between their left localizations, and we provide conditio…