The image of Colmez’s Montreal functor
Publications Mathématiques de l'IHÉS, Tome 118 (2013), pp. 1-191
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We prove a conjecture of Colmez concerning the reduction modulo of invariant lattices in irreducible admissible unitary -adic Banach space representations of with . This enables us to restate nicely the with -adic local Langlands correspondence for and deduce a conjecture of Breuil on irreducible admissible unitary completions of locally algebraic representations.
@article{PMIHES_2013__118__1_0,
author = {Pa\v{s}k\={u}nas, Vytautas},
title = {The image of {Colmez{\textquoteright}s} {Montreal} functor},
journal = {Publications Math\'ematiques de l'IH\'ES},
pages = {1--191},
publisher = {Springer Berlin Heidelberg},
address = {Berlin/Heidelberg},
volume = {118},
year = {2013},
doi = {10.1007/s10240-013-0049-y},
mrnumber = {3150248},
zbl = {1297.22021},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1007/s10240-013-0049-y/}
}
TY - JOUR AU - Paškūnas, Vytautas TI - The image of Colmez’s Montreal functor JO - Publications Mathématiques de l'IHÉS PY - 2013 SP - 1 EP - 191 VL - 118 PB - Springer Berlin Heidelberg PP - Berlin/Heidelberg UR - http://geodesic.mathdoc.fr/articles/10.1007/s10240-013-0049-y/ DO - 10.1007/s10240-013-0049-y LA - en ID - PMIHES_2013__118__1_0 ER -
%0 Journal Article %A Paškūnas, Vytautas %T The image of Colmez’s Montreal functor %J Publications Mathématiques de l'IHÉS %D 2013 %P 1-191 %V 118 %I Springer Berlin Heidelberg %C Berlin/Heidelberg %U http://geodesic.mathdoc.fr/articles/10.1007/s10240-013-0049-y/ %R 10.1007/s10240-013-0049-y %G en %F PMIHES_2013__118__1_0
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
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