The image of Colmez's Montreal functor
Paskunas, Vytautas
arXiv, 1005.2008 / Harvested from arXiv
Text on arXiv
We prove a conjecture of Colmez concerning the reduction modulo $p$ of invariant lattices in irreducible admissible unitary $p$-adic Banach space representations of $GL_2(Q_p)$ with $p\ge 5$. This enables us to restate nicely the $p$-adic local Langlands correspondence for $GL_2(Q_p)$ and deduce a conjecture of Breuil on irreducible admissible unitary completions of locally algebraic representations.
Publié le : 2010-05-12
Classification:  Mathematics - Representation Theory,  Mathematics - Number Theory 
@article{1005.2008,
     author = {Paskunas, Vytautas},
     title = {The image of Colmez's Montreal functor},
     journal = {arXiv},
     volume = {2010},
     number = {0},
     year = {2010},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1005.2008}
}

Paskunas, Vytautas. The image of Colmez's Montreal functor. arXiv, Tome 2010 (2010) no. 0, . http://gdmltest.u-ga.fr/item/1005.2008/