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: 01/07/2024 - 30/06/2028 | 2nd Funding period
Description
The goal of this project is to study cohomology theories for schemes in order to attack important open problems in arithmetic. Among these theories are topological periodic homology (TP), topological cyclic homology (TC), rational de Rham–Witt cohomology, prismatic cohomology, K-theory, L-Theory and leafwise cohomology of associated dynamical systems. We will prove structural results about those theories as well as make further calculations of specific cases.
Keywords: Arithmetic Geometry; Representation Theory; Mathematics
Website of the project: https://www.uni-muenster.de/MathematicsMuenster/de/CRC-Geometry/research/projects/a04.html
DFG-Gepris-ID: https://gepris.dfg.de/gepris/projekt/544082601
Funding identifier: SFB 1442/2, 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) |