Stratified Noncommutative Geometry

David Ayala, Montana State University, Bozeman, Montana, Aaron Mazel-Gee, California Institute of Technology, Palo Alto, California, and Nick Rozenblyum, University of Chicago, Illinois.

• 1. Introduction2. Detailed overview and fundamental examples3. Stratified noncommutative geometry4. Fundamental operations5. The $\mathcal {O}$-monoidal reconstruction theorem6. The geometric stratification of genuine $G$-spectra7. The metacosm reconstruction theorem8. Variations on the metacosm reconstruction theoremA. Actions and limits, strict and laxB. Some $(\infty ,2)$-category theory