Maxime Ramzi

collaborators

3 papers

math.AG2025

Localizing motives of Azumaya algebras

Maxime Ramzi

We prove that the natural map from the derived Brauer group of a qcqs scheme $X$ to the Picard group of $X$ -linear motives is injective, extending results of Tabuada and Tabuada-Va…

math.AT2024

A symmetric monoidal fracture square

Niko Naumann, Luca Pol, Maxime Ramzi

Given a symmetric monoidal stable $\infty$ -category $C$ which is rigidly-compactly generated and a set of compact objects $K$ of $C$ , one can form the…

math.KT2024

Every spectrum is the K-theory of a stable $\infty$ -category

Maxime Ramzi, Vladimir Sosnilo, Christoph Winges

We prove that any spectrum is equivalent to the nonconnective K-theory of a stable $\infty$ -category. We use these results to construct a stable $\infty$ -category $C$ wit…

Localizing motives of Azumaya algebras

A symmetric monoidal fracture square

Every spectrum is the K-theory of a stable ∞-category

Every spectrum is the K-theory of a stable $\infty$ -category