A02 Moduli spaces of p-adic Galois representations

Representations of the absolute Galois group of a p-adic local field with p-adic coefficients are studied most fruitfully in terms of semi-linear algebra objects called (phi,Gamma)-modules. In part of the project we will advance the study of (phi,Gamma)-modules. In another part we use (phi,Gamma)-modules to construct and study moduli spaces of Galois representation that occur in the context of the p-adic Langlands programme.