Maxime Ramzi

activity

20202026

most citedA multiplicative comparison of MacLane homology and topological Hochschild homology

3 citations · 10 across the 24 of their papers we have counts for

collaborators

Showing 2025 · math.KTShow all

3 papers · 2 filters

math.KT2025

$K (1)$ -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…

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

$K (1)$ -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