CRC 1442 - A04: New cohomology theories for arithmetic schemes
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
We develop, study and compute certain global cohomology theories for schemes. These cohomology theories may be viewed as deformations of ‘classical’ cohomology theories over mixed characteristic or over the sphere spectrum. For example, de Rham–Witt cohomology is a deformation of de Rham cohomology over mixed characteristic. Topological Hochschild homology is a deformation of ordinary Hochschild homology over the sphere spectrum. The motivation for the project is to use these cohomology theories to attack deep problems in algebra, topology and arithmetic geometry. Our most ambitious application concerns zeta functions.
Keywords: Arithmetic Geometry; Representation Theory; Mathematics
Website of the project: https://www.uni-muenster.de/MathematicsMuenster/CRC-Geometry/research/projects/a04.html
DFG-Gepris-ID: https://gepris.dfg.de/gepris/projekt/427320536
Funding identifier: SFB 1442/1, A04 | DFG project number: 427320536
Funder / funding scheme:
- DFG - Collaborative Research Centre (SFB)
Project management at the University of Münster
| Deninger, Christopher | Professorship of Arithmetic Geometry and Representation Theory (Prof. Deninger) |
| Nikolaus, Thomas | Professorship for theoretical mathematics (Prof. Nikolaus) |
Applicants from the University of Münster
| Deninger, Christopher | Professorship of Arithmetic Geometry and Representation Theory (Prof. Deninger) |
| Nikolaus, Thomas | Professorship for theoretical mathematics (Prof. Nikolaus) |