Constructs non-rigid tensor-triangulated categories whose thick tensor-ideals form non-distributive lattices.
Tensor triangular geometry -- Notes for an Oberwolfach Seminar
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abstract
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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Non-distributive lattices of thick tensor-ideals via trivial extensions
Constructs non-rigid tensor-triangulated categories whose thick tensor-ideals form non-distributive lattices.