C02 Homological algebra for stable ∞-categories
The goal of this project is to study the emerging area of homological algebra for stable infinity-categories. Concretely the major objective of this project is to study non-commutative motives as introduced by Blumberg–Gepner–Tabuada and the homotopy theory of chain complexes of stable infinity-categories that will be developed as part of the project, following up on pioneering work of Dyckerhoff. Moreover, we will explore the notion of a stable (infinity,infinity)-category and the corresponding higher version of spectra, which will besides its general importance also be relevant in setting up a rigid higher version of Quinn’s Ad-theories.
Project Leaders & Staff
Project Leader Prof. Dr. Thomas Nikolaus Staff Stefano Ariotta Felix Janssen Dr. Achim Krause apl. Prof. Dr. Jörg Schürmann