CRC 1442 - C02: Homological algebra for stable ∞-categories

Basic data for this project

Type of project: Subproject in DFG-joint project hosted at University of Münster

Duration at the University of Münster: 01/07/2020 - 30/06/2024 | 1st Funding period

Description

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.

Keywords: Geometry; Topology; Group Theory; Mathematics

Website of the project: https://www.uni-muenster.de/MathematicsMuenster/CRC-Geometry/research/projects/c02.html

DFG-Gepris-ID: https://gepris.dfg.de/gepris/projekt/444033433

Funding identifier: SFB 1442/1, C02 | DFG project number: 427320536

Funder / funding scheme: