8 papers · 1 filter
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…
Geometric purity and the frame of smashing ideals
Juan Omar Gómez, Maurcio Medina-Barcenas, Greg Stevenson +2
We introduce the notion of geometric purity in rigidly-compactly generated tt-categories by considering exact triangles that are pure at each tt-stalk. We develop a systematic stud…
Notes on Cohomological Finite Generation for Finite Group Schemes
Juan Omar Goméz, Chris J. Parker
These are extended notes based on lectures given by Vincent Franjou, Paul Sobaje, Peter Symonds and Antoine Touzé at the Master Class on New Developments in Finite Generation of Co…