4 papers
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…
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…
Higher Zariski Geometry
Ko Aoki, Tobias Barthel, Anish Chedalavada +2
We revisit the classical constructions of tensor-triangular geometry in the setting of stably symmetric monoidal idempotent-complete -categories, henceforth referred to as…
Proxy-small objects present compactly generated categories
Benjamin Briggs, Srikanth B. Iyengar, Greg Stevenson
We develop a correspondence between presentations of compactly generated triangulated categories as localizations of derived categories of ring spectra and proxy-small objects, and…