Congruences betwen Hilbert modular forms: constructing ordinary lifts, J ,
DOI : 10.1215/00127094-1593326
URL : http://arxiv.org/abs/1006.0466
Congruences betwen Hilbert modular forms: constructing ordinary lifts II, 2012. ,
Sur unprobì eme de compatibilité local-global modulo p pour GL 2 , prépublication, 2009. ,
Multiplicit??s modulaires raffin??es, Bulletin de la Société mathématique de France, vol.142, issue.1 ,
DOI : 10.24033/bsmf.2661
Towards a modulo p Langlands correspondence for GL 2 , Memoirs of A, M.S, vol.216, 2012. ,
Cohomology of Groups, Graduate Texts in Mathematics, vol.87, 1982. ,
The Local Langlands Conjecture for GL, Grundlehren der Mathematischen Wissenschaften, 2006. ,
DOI : 10.1007/3-540-31511-X
On Serre's conjecture for mod Galois representations over totally real fields, Duke Math, J, vol.55, pp.105-161, 2010. ,
Sur la mauvaise réduction des courbes de Shimura, Compositio Math, vol.59, pp.151-230, 1986. ,
Sur les repr??sentations $l$-adiques associ??es aux formes modulaires de Hilbert, Annales scientifiques de l'??cole normale sup??rieure, vol.19, issue.3, pp.409-468, 1986. ,
DOI : 10.24033/asens.1512
Abstract, Compositio Mathematica, vol.124, issue.02, pp.375-427, 2011. ,
DOI : 10.1112/S0010437X1000504X
URL : https://hal.archives-ouvertes.fr/hal-01256309
Multiplicities of Galois representations in cohomology groups of Shimura curves, prépublication, 2010. ,
CM points and quaternion algebras, Documenta Math, pp.263-309, 2005. ,
Fermat???s Last Theorem, Current Developments in Mathematics, pp.1-154, 1995. ,
DOI : 10.4310/CDM.1995.v1995.n1.a1
Appendicè a l'article [3] ,
The Taylor-Wiles construction and multiplicity one, Inventiones Mathematicae, vol.128, issue.2, pp.379-391, 1997. ,
DOI : 10.1007/s002220050144
A correspondence between representations of local Galois groups and Lie-type groups, L.M.S. Lecture Notes, vol.320, pp.187-206, 2007. ,
DOI : 10.1017/CBO9780511721267.006
Lifting modular mod representations, Duke Math, J, vol.74, pp.253-269, 1994. ,
DOI : 10.1215/s0012-7094-94-07413-9
Local-global compatibility in the p-adic Langlands program for GL 2, 2010. ,
Construction de repr??sentations $p$-adiques, Annales scientifiques de l'??cole normale sup??rieure, vol.15, issue.4, pp.547-608, 1982. ,
DOI : 10.24033/asens.1437
Deformation rings and Hecke algebras in the totally real case, prépublication ,
Sur l'unicité des types pour GL 2 , appendicè a Multiplicités modulaires et représentations de GL 2 (Z p ) et de Gal, J, vol.115, pp.205-310, 2002. ,
Automorphic lifts of prescribed types, Mathematische Annalen, vol.108, issue.1, pp.107-144, 2011. ,
DOI : 10.1007/s00208-010-0545-z
THE BREUIL???M??ZARD CONJECTURE FOR POTENTIALLY BARSOTTI???TATE REPRESENTATIONS, Forum of Mathematics, Pi, vol.19, 2012. ,
DOI : 10.1112/S0010437X11005264
Facteurs locaux des algèbres simples de rang 4, I, in Reductive Groups and Automorphic Forms, I (Paris, p.3777, 1976. ,
Facteurs locaux pour ${\rm GL}(2)$, Annales scientifiques de l'??cole normale sup??rieure, vol.13, issue.3, pp.349-384, 1980. ,
DOI : 10.24033/asens.1386
Valeurs sp??ciales de param??tres de diagrammes de Diamond, Bulletin de la Société mathématique de France, vol.144, issue.1, 2012. ,
DOI : 10.24033/bsmf.2707
A local analysis of congruences in the (p, p) case II, Inventiones Math, pp.129-155, 2001. ,
Serre's modularity conjecture II, Inventiones Math, pp.505-586, 2009. ,
DOI : 10.1142/9789814324359_0051
Moduli of finite flat group schemes, and modularity, Annals of Mathematics, vol.170, issue.3, pp.1085-1180, 2009. ,
DOI : 10.4007/annals.2009.170.1085
The Langlands Conjecture for Gl 2 of a Local Field, The Annals of Mathematics, vol.112, issue.2, pp.381-412, 1980. ,
DOI : 10.2307/1971151
Cyclotomic fields I and II, 1990. ,
Congruence relations between modular forms, Proc. ICM Warsaw, pp.503-514, 1983. ,
On modular representations of Gal(Q/Q) arising from modular forms, Inventiones Math, pp.431-476, 1990. ,
Abstract, Compositio Mathematica, vol.59, issue.1, pp.1081-1113, 2009. ,
DOI : 10.1215/S0012-7094-93-07211-0
Breuil modules for Raynaud schemes, Journal of Number Theory, vol.128, issue.11, pp.2939-2950, 2008. ,
DOI : 10.1016/j.jnt.2008.05.002
Sur les repr???sentations modulaires de degr??? $2$, Sur les représentations modulaires de degré 2 de Gal, pp.179-230, 1987. ,
DOI : 10.1215/S0012-7094-87-05413-5
On Canonical Models of Arithmetic Quotients of Bounded Symmetric Domains, The Annals of Mathematics, vol.91, issue.1, pp.144-222, 1970. ,
DOI : 10.2307/1970604
On galois representations associated to Hilbert modular forms, Inventiones Mathematicae, vol.94, issue.4, pp.265-280, 1989. ,
DOI : 10.1007/BF01388853
Ring-Theoretic Properties of Certain Hecke Algebras, The Annals of Mathematics, vol.141, issue.3, pp.553-572, 1995. ,
DOI : 10.2307/2118560
On the reduction modulo p of representations of a quaternion division algebra over a p-adic field, Journal of Number Theory, vol.150, 2012. ,
DOI : 10.1016/j.jnt.2014.11.005
Correspondance modulaire Galois-quaternions pour un corps padique, pp.254-266, 1989. ,
Correspondance de Langlands semi-simple pour GL(n, F ) modulo = p, Inventiones Math, pp.177-223, 2001. ,
Modular Elliptic Curves and Fermat's Last Theorem, The Annals of Mathematics, vol.141, issue.3, pp.443-551, 1995. ,
DOI : 10.2307/2118559
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.152.9137
91405 Orsay Cedex, France E-mail : christophe.breuil@math.u-psud.fr F. Diamond, Department of Math., King's College London ,