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 | Professur für Arithmetische Geometrie (Prof. Hartl) |
Hellmann, Eugen | Professorship for theoretical mathematics (Prof. Hellmann) |
Schneider, Peter | Professorship for theoretical arithmetic (Prof. Schneider) |
Hartl, Urs | Professur für Arithmetische Geometrie (Prof. Hartl) |
Hellmann, Eugen | Professorship for theoretical mathematics (Prof. Hellmann) |
Schneider, Peter | Professorship for theoretical arithmetic (Prof. Schneider) |