U. Soit-z-un-point-fermé-de, on peut aussi considérer l'espace tangent de U en z, e.g. un morphisme t : Spec E

E. Valeurs-dans, ? est semi-stable non cristalline, cette extension devrait contenir l'information sur les invariants L (de Fontaine-Mazur) de ? z,? . En effet, dans [32], en appliquant (6.43) à l'espace tangent (de U en z), on montre certaine compatibilité local-global dans le cas semi-stable non cristallin

F. Andreatta, A. Iovita, and G. Stevens, On overconvergent modular forms, prépublication, Bibliography, 2011.

F. Baldassari, Comparaison entre la cohomologie alg???brique et la cohomologiep-adique rigide ??? coefficients dans un module diff???rentiel I. (Cas des courbes), Inventiones Mathematicae, vol.6, issue.2, pp.83-99, 1987.
DOI : 10.1007/BF01389154

F. Baldassari and B. Chiarellotto, Algebraic versus rigid cohomology with logarithmic coefficients, Persp. in Maths, vol.15, pp.11-50, 1994.

T. Barnet-lamb, T. Gee, D. Geraghty, and R. Taylor, Local-global compatibility for l= p, II, à paraître à Ann

J. Bellaïche and G. Chenevier, Families of Galois representations and Selmer groups, Astérique, vol.324, 2009.

L. Berger, Repr??sentations p -adiques et ??quations diff??rentielles, Inventiones Mathematicae, vol.148, issue.2, pp.219-284, 2002.
DOI : 10.1007/s002220100202

P. Berthelot, G??om??trie rigide et cohomologie des vari??t??s alg??briques de caract??ristique $p$, Mémoires de la Société mathématique de France, vol.1, pp.7-32, 1986.
DOI : 10.24033/msmf.326

P. Berthelot, Cohomologie rigide et coholomogie rigide à supports propres, première partie, prépublication de l, 1996.

A. Borel and N. Wallach, Continuous cohomology, discrete subgroups, and representations of reductive groups, 2000.
DOI : 10.1090/surv/067

S. Bosch and U. Görtz, Coherent modules and their descent on relative rigide spaces, J. Reine Angew. Math, vol.495, pp.119-134, 1998.
DOI : 10.1515/crll.1998.014

S. Bosch, U. Gunützer, and R. Remmert, Non-Archimedean Analysis, 1984.
DOI : 10.1007/978-3-642-52229-1

R. Brasca, Abstract, Compositio Mathematica, vol.102, issue.01, pp.32-62, 2013.
DOI : 10.1007/978-3-540-37802-0_4

C. Breuil, Conjectures de classicité sur les formes de Hilbert surconvergentes de pente finie, note non publiée, 2010.

C. Breuil, The Emerging p-adic Langlands Programme, Proceedings of the International Congress of Mathematicians 2010 (ICM 2010), pp.203-230
DOI : 10.1142/9789814324359_0047

C. Breuil, Remarks on some locally Q p analytic representations of GL 2 (F ) in the crystalline case, Soc. Lecture Note Series, vol.393, pp.212-238, 2012.

C. Breuil, Vers le socle localement analytique pour GL n II, à paraître à Math, 2013.
DOI : 10.1007/s00208-014-1086-7

C. Breuil and M. Emerton, Représentations p-adique ordinaires de GL 2 (Q p ) et compatibilité local-global, Astérisque, vol.331, pp.255-315, 2010.

K. Buzzard, Eigenvarieties, London mathmatical society lecture note series 320, p.59, 2007.

K. Buzzard, Analytic continuation of overconvergent eigenforms, Journal of the American Mathematical Society, vol.16, issue.01, pp.29-55, 2003.
DOI : 10.1090/S0894-0347-02-00405-8

H. Carayol, Sur la mauvaise réduction des courbes de Shimura, Composito Mathematica, vol.59, pp.151-230, 1986.

H. Carayol, Sur les représentations l-adiques associées aux formes modulaires de Hilbert, Ann.scient, Ec. Norm. Sup. 4 e série, pp.409-468, 1986.
DOI : 10.24033/asens.1512

G. Chenevier, Familles p-adiques de formes automorphes pour GL n , J. reine angew, Math, vol.570, pp.143-217, 2004.
DOI : 10.1515/crll.2004.031

R. Coleman, Classical and overconvergent modular forms, Inventiones Mathematicae, vol.124, issue.1-3, pp.215-241, 1996.
DOI : 10.1007/s002220050051

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.464.1132

R. Coleman, P-adic Banach spaces and families of modular forms, Inventiones mathematicae, vol.12, issue.2, pp.417-479, 1997.
DOI : 10.1007/s002220050127

R. Coleman and B. Mazur, The Eigencurve, pp.1-114, 1998.
DOI : 10.1017/CBO9780511662010.003

P. Colmez, Représentations triangulines de dimension 2, Astérisque 319, pp.213-258, 2008.

P. Colmez, Représentations de GL 2 (Q p ) et (?, ?)-modules, Astérisque, vol.330, pp.281-509, 2010.

P. Deligne and J. F. Boutot, Cohomologie ??tale: les points de d??part, pp.4-75, 1977.
DOI : 10.1007/BFb0091518

F. Diamond and R. Taylor, Non-optimal levels of modl modular representations, Inventiones Mathematicae, vol.94, issue.197, pp.435-462, 1994.
DOI : 10.1007/BF01231768

Y. Ding, On some partially de Rham Galois representations, prépublication, 2014.

Y. Ding, L -invariants and local-global compatibility for the group GL 2 /F , prépublication, 2015.

M. Emerton, Locally analytic vectors in representations of locally p-adic analytic groups, à paraître à Memoirs of the Amer, Math. Soc, 2004.

M. Emerton, On the interpolation of systems of eigenvalues attached to automorphic Hecke eigenforms, Inventiones mathematicae, vol.164, issue.1, pp.1-84, 2006.
DOI : 10.1007/s00222-005-0448-x

M. Emerton, Jacquet modules of locally analytic representations of p-adic reductive groups I. Construction and first properties, Annales Scientifiques de l?????cole Normale Sup??rieure, vol.39, issue.5, pp.775-839, 2006.
DOI : 10.1016/j.ansens.2006.08.001

M. Emerton, Jacquet modules of locally analytic representations of p-adic reductive groups II. The relation to parabolic induction, J. Institut Math. Jussieu, 2007.

M. Emerton, Local-global compatibiligty in the p-adic Langlands programme for GL 2, 2010.

G. Faltings, Crystalline cohomology and p-adic Galois-representations Algebraic analysis, geometry, and number theory, pp.25-80, 1988.

G. Faltings, Group schemes with strict O-action, Mosc. Math. J, vol.2, issue.2, pp.249-279, 2002.

L. Fargues, Application de Hodge-Tate dual d'un groupe de Lubin-Tate, immeuble de Bruhat-Tits du groupe linéaire et filtrations de ramification, Duke Math, J, vol.140, issue.3, pp.499-590, 2007.
DOI : 10.1215/s0012-7094-07-14033-x

URL : http://arxiv.org/abs/math/0604252

L. Fargues, La filtration de Harder-Narasimhan des sch??mas en groupes finis et plats, Journal f??r die reine und angewandte Mathematik (Crelles Journal), vol.2010, issue.645, pp.1-39, 2010.
DOI : 10.1515/crelle.2010.058

J. Fontaine, Le corps des périodes p-adiques, Astérisque 223, pp.59-102, 1994.

J. Fontaine, Représentations -adiques potentiellement semi-stables, Astérisque, vol.223, pp.321-347, 1994.

J. Fontaine and Y. Ouyang, Theory of p-adic Galois representations, prépublication, 2008.

J. Fresnel and M. Van-der-put, Rigid analytic geometry and its applications, 2004.
DOI : 10.1007/978-1-4612-0041-3

M. Harris and R. Taylor, On the geometry and cohomology of some simple Shimura varieties, 2001.
DOI : 10.1515/9781400837205

J. Humphreys, Representations of semisimple Lie agebras in the BGG category O, Grad. Stud. Math, vol.94, 2008.

P. Kassaei, $\mathcal P$-adic modular forms over Shimura curves over totally real fields, Compositio Mathematica, vol.140, issue.02, pp.359-395, 2004.
DOI : 10.1112/S0010437X03000150

P. Kassaei, A Gluing Lemma and overconvergent modular forms, Duke Math, J, vol.132, issue.3, pp.509-529, 2006.

P. Kassaei, Overconvergence and classicality: the case of curves, Journal f??r die reine und angewandte Mathematik (Crelles Journal), vol.2009, issue.631, pp.109-139, 2009.
DOI : 10.1515/CRELLE.2009.043

N. Katz and T. Oda, On the differentiation of De Rham cohomology classes with respect to parameters, Journal of Mathematics of Kyoto University, vol.8, issue.2, pp.199-213, 1968.
DOI : 10.1215/kjm/1250524135

K. Kedlaya, Finiteness of rigid cohomology with coefficients, Duke Mathematical Journal, vol.134, issue.1, pp.15-97, 2006.
DOI : 10.1215/S0012-7094-06-13412-9

K. Kedlaya, J. Pottharst, and L. Xiao, Cohomology of arithmetic families of (?, ?)modules , à paraître à J. of the Amer, Math. Soc, 2012.

M. Lazard, Les z??ros des fonctions analytiques d???une variable sur un corps valu?? complet, Publications Mathématiques de l'IHÉS, pp.47-75, 1962.
DOI : 10.1007/BF02684326

URL : http://archive.numdam.org/article/SD_1962-1963__16_1_A6_0.pdf

R. Liu, Triangulation of refined families, Commentarii Mathematici Helvetici, vol.90, issue.4, p.48109, 2012.
DOI : 10.4171/CMH/372

B. Mazur, Modular curves and the Eisenstein ideal, Publ, pp.33-186, 1977.

W. Messing, The Crystals Associated to Barsotti-Tate Groups: with Applications to Abelian Schemes, Lectures Notes in Mathematics, vol.264, 1972.
DOI : 10.1007/BFb0058301

C. Moeglin and J. Waldspurger, Le spectre r??siduel de ${\rm GL}(n)$, Annales Scientifiques de l'Ecole Normale Superieure, pp.605-674, 1989.
DOI : 10.24033/asens.1595

K. Nakamura, Abstract, Compositio Mathematica, vol.319, issue.04, pp.865-914, 2009.
DOI : 10.1007/s002220100202

J. Neukrich, Algebraic number theory, 1999.
DOI : 10.1007/978-3-662-03983-0

A. Ogus, $F$ -isocrystals and de Rham cohomology II?Convergent isocrystals, Duke Mathematical Journal, vol.51, issue.4, pp.765-850, 1984.
DOI : 10.1215/S0012-7094-84-05136-6

V. Pilloni, Formes modulaires surconvergentes, Annales de l'Institut Fourier, 2009.

M. P. Raynaud, Schémas en groupes de type, Bulletin de la S.M.F. 102, pp.241-280, 1974.

T. Saito, Abstract, Compositio Mathematica, vol.59, issue.1, pp.1081-1113, 2009.
DOI : 10.1215/S0012-7094-93-07211-0

P. Schneider, Nonarchimedean functional analysis, 2002.
DOI : 10.1007/978-3-662-04728-6

P. Schneider and J. Teitelbaum, p-adic Fourier theory, Documenta Math, vol.6, pp.447-481, 2001.

P. Schneider and J. Teitelbaum, Locally analytic distributions and p-adic representation theory, with applications to GL 2, Journal of the American Mathematical Society, vol.15, issue.02, pp.443-468, 2002.
DOI : 10.1090/S0894-0347-01-00377-0

P. Schneider and J. Teitelbaum, Banach space representations and Iwasawa theory, Israel Journal of Mathematics, vol.36, issue.1, pp.359-380, 2002.
DOI : 10.1007/BF02784538

URL : http://arxiv.org/abs/math/0005066

P. Schneider and J. Teitelbaum, Algebras of p-adic distributions and admissible representations, Inventiones Mathematicae, vol.153, issue.1, pp.145-196, 2003.
DOI : 10.1007/s00222-002-0284-1

P. Schneider and J. Teitelbaum, Continuous and locally analytic representation theory, 2002.

P. Scholze, -ADIC HODGE THEORY FOR RIGID-ANALYTIC VARIETIES, Forum of Mathematics, Pi, vol.97, issue.e1, 2013.
DOI : 10.1017/S1474748012000643

URL : https://hal.archives-ouvertes.fr/hal-01334131

B. Schraen, Repr??sentations p-adiques de GL2(L) et Cat??gories D??riv??es, Israel Journal of Mathematics, vol.141, issue.4, pp.307-361, 2012.
DOI : 10.1007/s11856-010-0031-z

S. Shah, Interpolating periods, 2013.

J. T. Tate, p-Divisible Groups, Proceedings of a Conference on Local Fields, pp.158-183, 1967.
DOI : 10.1007/978-3-642-87942-5_12

R. Taylor, Galois representations associated to Siegel modular forms of low weight, Duke Math, J, vol.63, issue.2, pp.281-332, 1991.

Y. Tian and L. Xiao, p-adic cohomology and classicality of overconvergent Hilbert modular forms, prépublication

N. Tsuzuki, On the Gysin isomorphism of rigid cohomology, Hiroshima Mathematical Journal, vol.29, issue.3, pp.479-527, 1999.

C. A. Weibel, An introduction to homological algebra, 1995.
DOI : 10.1017/CBO9781139644136