ANNALES DE L'INSTITUT FOURIER

[1] Andreatta, Fabrizio; Iovita, Adrian; Pilloni, Vincent On overconvergent Hilbert modular cusp forms, $p$-adic arithmetic of Hilbert modular forms (Astérisque), Volume 382, Société Mathématique de France, 2016, pp. 163-193

[2] Bellaıche, Joël; Chenevier, Gaëtan Families of Galois representations and Selmer groups, Astérisque, 324, Société Mathématique de France, 2009, xii+314 pages

[3] Bergdall, John On the variation of $(\varphi ,\Gamma )$-modules over $p$-adic families of automorphic forms, Boston University, USA (2013) (Ph. D. Thesis)

[4] Bergdall, John Paraboline variation of $p$-adic families of $(\varphi ,\Gamma )$-modules, Compos. Math., Volume 153 (2017), pp. 132-174 | DOI

[5] Berger, Laurent Représentations $p$-adiques et équations différentielles, Invent. Math., Volume 148 (2002) no. 2, pp. 219-284 | DOI

[6] Berger, Laurent Construction de $(\varphi ,\Gamma )$-modules: représentations $p$-adiques et $B$-paires, Algebra Number Theory, Volume 2 (2008) no. 1, pp. 91-120 | DOI

[7] Berger, Laurent Multivariable $(\varphi ,\Gamma )$-modules and locally analytic vectors, Duke Math. J., Volume 165 (2016) no. 18, pp. 3567-3595 | DOI

[8] Bijakowski, Stéphane Classicité de formes modulaires de Hilbert, $p$-adic arithmetic of Hilbert modular forms (Astérisque), Volume 382, Société Mathématique de France, 2016, pp. 49-71

[9] Breuil, Christophe Invariant $ℒ$ et série spéciale $p$-adique, Ann. Sci. Éc. Norm. Supér., Volume 37 (2004) no. 4, pp. 559-610 | DOI

[10] Breuil, Christophe Conjectures de classicité sur les formes de Hilbert surconvergentes de pente finie (2010) (unpublished note)

[11] Breuil, Christophe The emerging $p$-adic Langlands programme, Proceedings of the international congress of mathematicians, Vol. II (2010), pp. 203-230

[12] Breuil, Christophe Remarks on some locally ${\mathbb{Q}}_p$-analytic representations of ${\mathrm{GL}}_2\left(F\right)$ in the crystalline case, Non-abelian fundamental groups and Iwasawa theory (London Mathematical Society Lecture Note Series), Volume 393, Cambridge University Press, 2010, pp. 212-238

[13] Breuil, Christophe Série spéciale $p$-adique et cohomologie étale complétée, Représentations $p$-adiques de groupes $p$-adiques III: Méthodes globales et géométriques (Astérisque), Volume 331, Société Mathématique de France, 2010, pp. 65-115

[14] Breuil, Christophe Vers le socle localement analytique pour ${\mathrm{GL}}_n$, II, Math. Ann., Volume 361 (2015) no. 3-4, pp. 741-785 | DOI

[15] Breuil, Christophe Socle localement analytique I, Ann. Inst. Fourier, Volume 66 (2016) no. 2, pp. 633-685 | DOI

[16] Breuil, Christophe; Hellmann, Eugen; Schraen, Benjamin Une interprétation modulaire de la variété trianguline (2015) (https://arxiv.org/abs/1411.7260v2, to appear in Math. Ann.)

[17] Buzzard, Kevin Eigenvarieties, $L$-functions and Galois representations (London Mathematical Society Lecture Note Series), Volume 320, Cambridge University Press, 2007, pp. 59-120

[18] Carayol, Henri Sur les représentations $\ell$-adiques associées aux formes modulaires de Hilbert, Ann. Sci. Éc. Norm. Supér., Volume 19 (1986) no. 3, pp. 409-468 | DOI

[19] Chenevier, Gaëtan Familles $p$-adiques de formes automorphes pour ${\mathrm{GL}}_n$, J. Reine Angew. Math, Volume 570 (2004), pp. 143-217

[20] Chenevier, Gaëtan Une correspondance de Jacquet-Langlands $p$-adique, Duke Math. J., Volume 126 (2005) no. 1, pp. 161-194 | DOI

[21] Chenevier, Gaëtan On the infinite fern of Galois representations of unitary type, Ann. Sci. Éc. Norm. Supér., Volume 44 (2011) no. 6, pp. 963-1019 | DOI

[22] Colmez, Pierre Invariants $ℒ$ et dérivées de valeurs propres de Frobenius, Représentations $p$-adiques de groupes $p$-adiques III: Méthodes globales et géométriques (Astérisque), Volume 331, Société Mathématique de France, 2010, pp. 13-28

[23] Ding, Yiwen Formes modulaires $p$-adiques sur les courbes de Shimura unitaires et compatibilité local-global (2014) (https://sites.google.com/site/yiwendingmath/fmclg.pdf)

[24] Ding, Yiwen $ℒ$-invariants and local-global compatibility for ${\mathrm{GL}}_2/F$, Forum Math. Sigma, Volume 4 (2016) (Article ID e13, 49 p., electronic only) | DOI

[25] Emerton, Matthew Locally analytic vectors in representations of locally $p$-adic analytic groups (2004) (https://arxiv.org/abs/math/0405137, to appear in Mem. Am. Math. Soc.)

[26] Emerton, Matthew Jacquet modules of locally analytic representations of $p$-adic reductive groups I. Construction and first properties, Ann. Sci. Éc. Norm. Supér., Volume 39 (2006) no. 5, pp. 775-839 | DOI

[27] Emerton, Matthew On the interpolation of systems of eigenvalues attached to automorphic Hecke eigenforms, Invent. Math., Volume 164 (2006) no. 1, pp. 1-84 | DOI

[28] Emerton, Matthew Jacquet modules of locally analytic representations of $p$-adic reductive groups II. The relation to parabolic induction (2007) (to appear in J. Inst. Math. Jussieu)

[29] Greenberg, Ralph; Stevens, Glenn $p$-adic $L$-functions and $p$-adic periods of modular forms, Invent. Math., Volume 111 (1993) no. 2, pp. 407-447 | DOI

[30] Kedlaya, Kiran S. Slope filtrations for relative Frobenius, Représentation p-adiques de groupes p-adiques I. Représentations galoisiennes et ($\phi ,\Gamma$)-modules (Astérisque), Volume 319, Société Mathématique de France, 2008, pp. 259-301

[31] Kedlaya, Kiran S.; Pottharst, Jonathan; Xiao, Liang Cohomology of arithmetic families of $(\varphi ,\Gamma )$-modules, J. Am. Math. Soc., Volume 27 (2014) no. 4, pp. 1043-1115 | DOI

[32] Liu, Ruochuan Triangulation of refined families, Comment. Math. Helv., Volume 90 (2015) no. 4, pp. 831-904 | DOI

[33] Nakamura, Kentaro Classification of two-dimensional split trianguline representations of $p$-adic fields, Compos. Math., Volume 145 (2009) no. 4, pp. 865-914 | DOI

[34] Nakamura, Kentaro Deformations of trianguline $B$-pairs and Zariski density of two dimensional crystalline representations, J. Math. Sci., Tokyo, Volume 20 (2013) no. 4, pp. 461-568

[35] Newton, James Completed cohomology of Shimura curves and a $p$-adic Jacquet-Langlands correspondence, Math. Ann., Volume 355 (2013) no. 2, pp. 729-763 | DOI

[36] Orlik, Sascha; Strauch, Matthias On Jordan–Hölder series of some locally analytic representations, J. Am. Math. Soc., Volume 28 (2015) no. 1, pp. 99-157 | DOI

[37] Pottharst, Jonathan The $ℒ$-invariant, the dual $ℒ$-invariant, and families, Ann. Math. Qué., Volume 40 (2016) no. 1, pp. 159-165 | DOI

[38] Saito, Takeshi Hilbert modular forms and $p$-adic Hodge theory, Compos. Math., Volume 145 (2009) no. 5, pp. 1081-1113 | DOI

[39] Schneider, Peter; Teitelbaum, Jeremy Banach space representations and Iwasawa theory, Isr. J. Math., Volume 127 (2002) no. 1, pp. 359-380 | DOI

[40] Schneider, Peter; Teitelbaum, Jeremy Algebras of $p$-adic distributions and admissible representations, Invent. Math., Volume 153 (2003) no. 1, pp. 145-196 | DOI

[41] Schraen, Benjamin Représentations $p$-adiques de ${\mathrm{GL}}_2\left(L\right)$ et catégories dérivées, Isr. J. Math., Volume 176 (2010) no. 1, pp. 307-361 | DOI

[42] Shah, Shrenik Interpolating periods (2013) (https://arxiv.org/abs/1305.2872)

[43] Tian, Yichao; Xiao, Liang $p$-adic cohomology and classicality of overconvergent Hilbert modular forms (to appear in Astérisque)

[44] Zhang, YuanCao $ℒ$-invariants and logarithm derivatives of eigenvalues of Frobenius, Sci. China, Math., Volume 57 (2014) no. 8, pp. 1587-1604 | DOI