The image of Colmez’s Montreal functor

Paškūnas, Vytautas

doi:10.1007/s10240-013-0049-y

Paškūnas, Vytautas ¹

¹ Fakultät für Mathematik, Universität Duisburg-Essen 45127, Essen Germany

Publications Mathématiques de l'IHÉS, Tome 118 (2013), pp. 1-191.

Résumé

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 $p \geq 5$ . This enables us to restate nicely the with $p$ -adic local Langlands correspondence for ${GL}_{2} (𝐐_{p})$ and deduce a conjecture of Breuil on irreducible admissible unitary completions of locally algebraic representations.

MR Zbl

DOI : 10.1007/s10240-013-0049-y

Affiliations des auteurs :

Paškūnas, Vytautas ¹

¹ Fakultät für Mathematik, Universität Duisburg-Essen 45127, Essen Germany

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     title = {The image of {Colmez{\textquoteright}s} {Montreal} functor},
     journal = {Publications Math\'ematiques de l'IH\'ES},
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Paškūnas, Vytautas. The image of Colmez’s Montreal functor. Publications Mathématiques de l'IHÉS, Tome 118 (2013), pp. 1-191. doi : 10.1007/s10240-013-0049-y. http://www.numdam.org/articles/10.1007/s10240-013-0049-y/

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