6 citations · 19 across the 27 of their papers we have counts for
29 papers
A derived Chouinard's theorem for infinite groups
Natàlia Castellana, Juan Omar Gómez
We establish a Chouinard-type theorem for modules over algebras of cochains on the classifying spaces of a broad class of infinite groups, allowing commutative ring spectra as coef…
Local Bousfield classes via homological support
Tobias Barthel, Natalia Castellana, Drew Heard +2
Given an object in a big tensor-triangulated category, we study the homological and cohomological Bousfield classes of the associated localization: the tensor-triangulated cate…
Conservative geometric functors via purity
Natàlia Castellana, Juan Omar Gómez
We establish a criterion for determining when a family of geometric functors is jointly conservative through the lens of purity in compactly generated triangulated categories. We i…
Descent in tensor triangular geometry
Tobias Barthel, Natalia Castellana, Drew Heard +3
We investigate to what extent we can descend the classification of localizing, smashing and thick ideals in a presentably symmetric monoidal stable -category …
On surjectivity in tensor triangular geometry
Tobias Barthel, Natalia Castellana, Drew Heard +1
We prove that a jointly conservative family of geometric functors between rigidly-compactly generated tensor triangulated categories induces a surjective map on Balmer spectra. Fro…
Cosupport in tensor triangular geometry
Tobias Barthel, Natalia Castellana, Drew Heard +1
We develop a theory of cosupport and costratification in tensor triangular geometry. We study the geometric relationship between support and cosupport, provide a conceptual foundat…