Strong local-global compatibility in the p-adic Langlands program for U(2)
Rendiconti del Seminario Matematico della Università di Padova, Tome 137 (2017), pp. 135-153.

For certain mod p Galois representations ρ ¯, arising from modular forms on definite unitary groups in two variables, we express the ρ ¯-part of completed cohomology H ^ ρ ¯ 0 (away from Σ=Σ p Σ 0 ) as a tensor product Π p Π Σ 0 . Here Π p is attached to the universal deformation ρ univ via the p-adic local Langlands correspondence for GL 2 ( p ), and Π Σ 0 is given by the local Langlands correspondence in families, of Emerton and Helm.

DOI : 10.4171/RSMUP/137-7
Classification : 11
Mots clés : Galois representations, automorphic forms, $p$-adic Langlands program
Chojecki, Przemyslaw 1 ; Sorensen, Claus 2

1 Oxford University, OXFORD, UNITED KINGDOM
2 University of California, San Diego (UCSD), LA JOLLA, UNITED STATES
@article{RSMUP_2017__137__135_0,
     author = {Chojecki, Przemyslaw and Sorensen, Claus},
     title = {Strong local-global compatibility in the $p$-adic {Langlands} program for $U(2)$},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {135--153},
     publisher = {European Mathematical Society Publishing House},
     address = {Zuerich, Switzerland},
     volume = {137},
     year = {2017},
     doi = {10.4171/RSMUP/137-7},
     mrnumber = {3652872},
     zbl = {1428.11083},
     url = {http://www.numdam.org/articles/10.4171/RSMUP/137-7/}
}
TY  - JOUR
AU  - Chojecki, Przemyslaw
AU  - Sorensen, Claus
TI  - Strong local-global compatibility in the $p$-adic Langlands program for $U(2)$
JO  - Rendiconti del Seminario Matematico della Università di Padova
PY  - 2017
SP  - 135
EP  - 153
VL  - 137
PB  - European Mathematical Society Publishing House
PP  - Zuerich, Switzerland
UR  - http://www.numdam.org/articles/10.4171/RSMUP/137-7/
DO  - 10.4171/RSMUP/137-7
ID  - RSMUP_2017__137__135_0
ER  - 
%0 Journal Article
%A Chojecki, Przemyslaw
%A Sorensen, Claus
%T Strong local-global compatibility in the $p$-adic Langlands program for $U(2)$
%J Rendiconti del Seminario Matematico della Università di Padova
%D 2017
%P 135-153
%V 137
%I European Mathematical Society Publishing House
%C Zuerich, Switzerland
%U http://www.numdam.org/articles/10.4171/RSMUP/137-7/
%R 10.4171/RSMUP/137-7
%F RSMUP_2017__137__135_0
Chojecki, Przemyslaw; Sorensen, Claus. Strong local-global compatibility in the $p$-adic Langlands program for $U(2)$. Rendiconti del Seminario Matematico della Università di Padova, Tome 137 (2017), pp. 135-153. doi : 10.4171/RSMUP/137-7. http://www.numdam.org/articles/10.4171/RSMUP/137-7/

Cité par Sources :