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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 p5. 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.

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