67 citations · 453 across the 47 of their papers we have counts for
47 papers
Mackeyfication of equivariant categories I
Paul Balmer, Hatice Mutlu
Colloquially speaking, `equivariant categories' refer to families of additive categories depending 2-functorially on a finite group . We construct approximation…
Permutation, stabilization and decomposition
Paul Balmer, Martin Gallauer
Informed by our understanding of the tt-geometry of permutation modules, we investigate the proper definition of the `stable permutation category' of a finite group. Then we prove…
Patch-density in tensor-triangular geometry
Paul Balmer, Martin Gallauer
The spectrum of a tensor-triangulated category carries a compact Hausdorff topology, called the constructible topology, also known as the patch topology. We prove that patch-dense…
The Tate Intermediate Value Theorem
Paul Balmer, Beren Sanders
We explain how the gluing of a closed piece of the tensor-triangular spectrum with its open complement hinges on the support of the Tate ring.
Perfect complexes and completion
Paul Balmer, Beren Sanders
Let be the -adic completion of a commutative ring with respect to a finitely generated ideal . We give a necessary and sufficient criterion for the category of…
The spectrum of Artin motives
Paul Balmer, Martin Gallauer
We analyze the tt-geometry of derived Artin motives, via modular representation theory of profinite groups. To illustrate our methods, we discuss Artin motives over a finite field,…