3 papers
math.RT2025
Global representation theory: Homological foundations
Miguel Barrero, Tobias Barthel, Luca Pol +2
A global representation is a compatible collection of representations of the outer automorphism groups of the groups belonging to some collection of finite groups . Gl…
math.CT2025
The homological spectrum via definable subcategories
Isaac Bird, Jordan Williamson
We develop an alternative approach to the homological spectrum of a tensor-triangulated category through the lens of definable subcategories. This culminates in a proof that the ho…
math.AT2025
Torsion models for tensor-triangulated categories
Scott Balchin, J. P. C. Greenlees, Luca Pol +1
Given a rigidly-compactly generated tensor-triangulated category whose Balmer spectrum is finite dimensional and Noetherian, we construct a torsion model for it, which is equivalen…