7 papers
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…
Periods in equivariant and motivic contexts
Martin Gallauer
We define the period as a multiplicative characteristic of stably symmetric monoidal -categories, develop its basic properties, and study many examples, with a focus on `or…
The geometry of permutation modules
Paul Balmer, Martin Gallauer
We consider the derived category of permutation modules for a finite group, in positive characteristic. We stratify this tensor triangulated category using Brauer quotients. We des…
The tt-geometry of permutation modules. Part I: Stratification
Paul Balmer, Martin Gallauer
We consider the derived category of permutation modules over a finite group, in positive characteristic. We stratify this tensor triangulated category using Brauer quotients. We de…
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 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,…