p-adic Galois representations in finite Zp-modules are equivalent to (phi,Gamma)-modules for Qp. In this project, we develop the theory of (phi,Gamma)-modules further in the direction of finite extensions of Qp and their function field analogues. We will also use (phi,Gamma)-modules to construct moduli spaces of p-adic Galois representations. We aim to decompose special fibres on these moduli spaces into cycles in a way that mirrors multiplicity formulas in representation theory.
| Hartl, Urs | |
| Hellmann, Eugen | |
| Schneider, Peter |
| Hartl, Urs | |
| Hellmann, Eugen | |
| Schneider, Peter |
Duration: 01/07/2024 - 30/06/2028 | 2nd Funding period Funded by: DFG - Collaborative Research Centre Type of project: Subproject in DFG-joint project hosted at University of Münster |
Duration: 01/07/2020 - 30/06/2024 | 1st Funding period Funded by: DFG - Collaborative Research Centre Type of project: Main DFG-project hosted at University of Münster |