11 citations · 30 across the 14 of their papers we have counts for
14 papers
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…
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…
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…
Tensor-triangular rigidity in chromatic homotopy theory
Scott Balchin, Constanze Roitzheim, Jordan Williamson
We study the uniqueness of enhancements of tensor-triangulated categories. To do so, we provide conditions under which these enhancements interact well with categorical decompositi…
Finitistic dimensions over commutative DG-rings
Isaac Bird, Liran Shaul, Prashanth Sridhar +1
In this paper we study the finitistic dimensions of commutative noetherian non-positive DG-rings with finite amplitude. We prove that any DG-module of finite flat dimension ove…
Duality pairs, phantom maps, and definability in triangulated categories
Isaac Bird, Jordan Williamson
We define duality triples and duality pairs in compactly generated triangulated categories and investigate their properties. This enables us to give an elementary way to determine…