• Corpus ID: 235669854

Stratification in tensor triangular geometry with applications to spectral Mackey functors

@inproceedings{Barthel2021StratificationIT,
  title={Stratification in tensor triangular geometry with applications to spectral Mackey functors},
  author={Tobias Barthel and Drew Heard and Beren Sanders},
  year={2021}
}
We systematically develop a theory of stratification in the context of tensor triangular geometry and apply it to classify the localizing tensorideals of certain categories of spectral G-Mackey functors for all finite groups G. Our theory of stratification is based on the approach of Stevenson which uses the Balmer–Favi notion of big support for tensor-triangulated categories whose Balmer spectrum is weakly noetherian. We clarify the role of the local-toglobal principle and establish that the… 

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