Maxime Ramzi

activity

20242026

collaborators

Showing math.KTShow all

6 papers · 1 filter

math.KT2026

$Mot^{loc}$ is not compactly generated

Maxime Ramzi

We prove that the $\infty$ -category of localizing motives in the sense of Blumberg--Gepner--Tabuada is not compactly generated, extending a result of Efimov.

math.KT2026

Chromatic Noshift

Maxime Ramzi

The chromatic redshift philosophy, introduced by Ausoni and Rognes, suggests that algebraic $K$ -theory raises chromatic height by $1$ . We show that the analogue of this philosophy…

math.KT2026

Equivariant localizing motives and multiplicative norms on algebraic K-theory

Kaif Hilman, Maxime Ramzi

We construct multiplicative norms on equivariant nonconnective algebraic $K$ -theory for finite groups $G$ . We also construct a genuine equivariant version of THH equipped with a De…

math.KT2026

$K (1)$ -local $K$ -theory of Azumaya algebras

Maxime Ramzi

We compute certain strict Picard spectra of $K (1)$ -local $K$ -theory spectra of schemes in terms of Brauer groups, using the map that takes an Azumaya algebra to its $K (1)$ -local $K…

math.KT2025

$p$ -perfection and group completion of $E_{\infty}$ -monoids

Maxime Ramzi, Maria Yakerson

We study $E_{\infty}$ -monoids on which a prime $p$ acts invertibly, which we call $p$ -perfect, in the non-group-complete situation. In particular, we prove that in many exam…

math.KT2025

Every motive is the motive of a stable $\infty$ -category

Maxime Ramzi, Vladimir Sosnilo, Christoph Winges

We define a class of motivic equivalences of small stable $\infty$ -categories $W_{mot}$ and show that the Dwyer--Kan localization functor $\mathrm{Cat}^{\mathrm{perf}}_\in…

Motloc is not compactly generated

Chromatic Noshift

Equivariant localizing motives and multiplicative norms on algebraic K-theory

K(1)-local K-theory of Azumaya algebras

p-perfection and group completion of E∞​-monoids

Every motive is the motive of a stable ∞-category

$Mot^{loc}$ is not compactly generated

$K (1)$ -local $K$ -theory of Azumaya algebras

$p$ -perfection and group completion of $E_{\infty}$ -monoids

Every motive is the motive of a stable $\infty$ -category