10 papers
The proper stable module category of a group algebra
Georgios Dalezios, Juan Omar Gómez
We introduce the proper stable module category for an arbitrary discrete group over any commutative ring by means of cotorsion pairs and abelian model structures. This category is…
Hopfological algebra, revisited
Juan Omar Gómez, Gustavo Jasso, Marius Nielsen
We propose an -categorical approach to Khovanov--Qi's Hopfological algebra that, in particular, refines several foundational aspects of the theory by recasting the previous…
Descent and finite permutation resolutions for discrete groups
Juan Omar Gómez, Luca Pol
Let be a discrete group with a finite-dimensional model for the classifying space for proper actions, and let be a commutative Noetherian ring of finite global dimension. I…
The classification of integral endotrivial complexes
Juan Omar Gómez, Sam K. Miller
We describe the group of endotrivial complexes, i.e., the Picard group, of the derived category of permutation modules for a finite group over a commutative Noetherian ring. As a r…
The importance of being isolated
Scott Balchin, Juan Omar Gómez, Greg Stevenson
We give both a sufficient condition for and an obstruction to the derived category of a commutative ring being generated by its residue fields. As an illustration, we exhibit a rin…
Fiberwise building and stratification in tensor triangular geometry
Juan Omar Gómez
We establish conditions on a family of coproduct-preserving tt-functors between tt-categories with small coproducts, ensuring that the loca…