Germ'an Stefanich

collaborators

4 papers

math.AG2025

Categorification of sheaf theory

GermÃ¡n Stefanich

We discuss a systematic procedure for categorifying presentable six-functor formalisms. Our main result produces, given the input of a representation of the $\infty$ -category of co…

math.AG2025

Dualizability of derived categories of algebraic stacks

GermÃ¡n Stefanich

We show that, for a Noetherian algebraic stack with quasi-affine diagonal $X$ , the stable $\infty$ -category of quasi-coherent sheaves on $X$ is dualizable if and only if the reduce…

math.AG2025

Report on $E_{\infty}$ -descendability

Benjamin Antieau, GermÃ¡n Stefanich

We introduce the notion of $E_{\infty}$ -descendability as well as a derived variant. We prove that several classes of descendable maps of commutative rings are $\mathbb{E}_\…

math.CT2025

Classification of fully dualizable linear categories

GermÃ¡n Stefanich

We prove that if $R$ is a G-ring then every fully dualizable $R$ -linear cocomplete category is equivalent to a twist by a $G_{m}$ -gerbe of the category of modules over a fin…

Categorification of sheaf theory

Dualizability of derived categories of algebraic stacks

Report on E∞​-descendability

Classification of fully dualizable linear categories

Report on $E_{\infty}$ -descendability