3 citations · 10 across the 24 of their papers we have counts for
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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…
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…
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…
Separability in homotopical algebra
Maxime Ramzi
We study the notion of \emph{separable algebras} in the context of symmetric monoidal stable -categories. In the first part of this paper, we compare this context to that o…
On the multiplicativity of the Euler characteristic
John R. Klein, Cary Malkiewich, Maxime Ramzi
In this short paper, we give two proofs that the Euler characteristic is multiplicative, for fiber sequences of finitely dominated spaces. This is equivalent to proving that the Be…
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…
A multiplicative comparison of MacLane homology and topological Hochschild homology
Geoffroy Horel, Maxime Ramzi
Let denote MacLane's -construction, and denote the smash product of spectra. In this paper we construct an equivalence in the categ…