The image of Colmez's Montreal functor
Vytautas Paskunas
| Number | 16 |
|---|---|
| Author | Vytautas Paškūnas |
| Year | 2013 |
We prove a conjecture of Colmez concerning the reduction modulo p of invariant lattices in irreducible admissible unitary p-adic Banach space representations of GL2(Qp) with p≥5. This enables us to restate nicely the p-adic local Langlands correspondence for GL2(Qp) and deduce a conjecture of Breuil on irreducible admissible unitary completions of locally algebraic representations.
