Germ'an Stefanich

most citedHigher sheaf theory I: Correspondences

1 citations · 2 across the 5 of their papers we have counts for

collaborators

Showing math.AGShow all

4 papers · 1 filter

math.AG2025

Categorification of sheaf theory

Germán 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

Germán 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, Germán 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.AG2023

Tannaka duality and 1-affineness

Germán Stefanich

We show that Lurie's results on Tannaka duality for geometric stacks hold without any tameness hypotheses. We deduce this as a consequence of an affineness theorem in the theory of…

Categorification of sheaf theory

Dualizability of derived categories of algebraic stacks

Report on E∞​-descendability

Tannaka duality and 1-affineness

Report on $E_{\infty}$ -descendability