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math.CT2026
Some notes on tensor triangular geometry
Greg Stevenson
These are notes from the lectures I gave at the Oberwolfach seminar `Tensor Triangular Geometry and Interactions' which was held in October 2025. The aim of these notes is to give…
math.RT2026
Geometric purity and the frame of smashing ideals
Juan Omar Gómez, Maurcio Medina-Barcenas, Greg Stevenson +2
We introduce the notion of geometric purity in rigidly-compactly generated tt-categories by considering exact triangles that are pure at each tt-stalk. We develop a systematic stud…