collaborators

5 papers

math.AT2026

Derived plethystic algebra

Benjamin Antieau, Edith Hübner, Dmitry Kubrak +1

We prove comparison results about -categories of derived commutative rings with extra algebraic structure. For example, we show that several notions of derived -rings ag…

math.AT2025

Filtrations and cohomology III: cohomology of rings

Benjamin Antieau

We discuss filtrations arising from de Rham-type cohomology theories for rings and rings. Examples include the HKR filtration on relative topological Hochschild ho…

math.AG2025

Filtrations and cohomology II: the Gauss-Manin connection

Benjamin Antieau

We use derived methods to study the Gauss-Manin connection in Hochschild homology, infinitesimal cohomology, and derived de Rham cohomology. As applications, we give new approaches…

math.AG2025

Filtrations and cohomology I: crystallization

Benjamin Antieau

We compare several different notions of filtered derived commutative ring, discussing HKR-filtered Hochschild homology, Hodge-filtered de Rham cohomology, and the lesser-known Hodg…

math.AG2025

Report on -descendability

Benjamin Antieau, Germán Stefanich

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