New cohomology theories for arithmetic schemes (A04)

• Subject Area: Mathematics
• Term: since 2020
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 427320536

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.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 1442: Geometry: Deformations and Rigidity
• Applicant Institution: Universität Münster
• Project Heads: Professor Dr. Christopher Deninger; Professor Dr. Thomas Nikolaus