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Tensor triangular geometry -- Notes for an Oberwolfach Seminar

范畴论 2026-05-20 v1 代数几何 代数拓扑 表示论

摘要

These are the notes from lectures I gave at the Oberwolfach Seminar "Tensor Triangular Geometry and Interactions" which was held in October 2025. The aim of these notes is twofold: We develop notions of support for triangulated categories, and we apply them to classify thick and localising tensor ideals of categories that arise in modular representation theory of finite groups.

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引用

@article{arxiv.2605.19983,
  title  = {Tensor triangular geometry -- Notes for an Oberwolfach Seminar},
  author = {Henning Krause},
  journal= {arXiv preprint arXiv:2605.19983},
  year   = {2026}
}

备注

51 pages. These notes are complemented by notes of Nat\`alia Castellana and Greg Stevenson. They will be published together in a forthcoming volume of the "Oberwolfach Seminars" book series by Birkh\"auser Science