7 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 …
Geometric Points in Tensor Triangular Geometry
Tobias Barthel, Logan Hyslop, Maxime Ramzi
In this paper, we study geometric points in tensor triangular geometry. In doing so, we construct a counter-example to Balmer's Nerves of Steel conjecture using free constructions…
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…
On endomorphisms of topological Hochschild homology
Maxime Ramzi
We compute endomorphisms of topological Hochschild homology () as a functor on stable -categories, as well as variants thereof: we also compute endomorphisms…
Universality of Barwick's unfurling construction
Bastiaan Cnossen, Tobias Lenz, Maxime Ramzi
Given an -category with pullbacks, its -category of spans has the universal property of freely adding right adjoints…
Characters and transfer maps via categorified traces
Shachar Carmeli, Bastiaan Cnossen, Maxime Ramzi +1
We develop a theory of generalized characters of local systems in -categories, which extends classical character theory for group representations and, in particular, the in…