Overconvergent Hilbert modular forms

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On the interpolation of systems of eigenvalues attached to automorphic Hecke eigenforms (2006, methodology): “Coleman and Mazur’s original construction of the eigencurve [11], via the geometric theory of modular forms, has been extended to the contexts of Shimura curves by Kassaei [22] and to the context of Hilbert modular varieties by Kisin and Lai [ 23 ].”
La filtration canonique des points de torsion des groupes $p$-divisibles (2011, unknown): “Le cas des variétés modulaires de Hilbert a été étudié en détails dans [26], [21] et [22].”
Galois representations modulo p and cohomology of Hilbert modular varieties (2004, background): “eﬁne the good action of Ta on on Hilbert modular forms, we should modify slightly the last arrow : we decompose Was (Wω−2t)ω2tand we deﬁne π 2∗(Wω−2t) →π 1∗(Wω−2t) as above and π 2∗ω 2t→π 1∗ω 2tas in [29]§1.11 (via the Kodaira-Spencer isomorphism Ω1 Y1 ≃ω 2 ⊗ o dc −1). Thus we obtain W→π 1∗π 2∗W→π 1”
A gluing lemma and overconvergent modular forms (2004, methodology): “ne is interested in such control theorems for automorphic forms over other Shimura varieties. For instance, such a result is still missing for (non-ordinary) overconvergent Hilbert modular forms (See [10]). Coleman’s method of proving Theorem 1.1, which is based on a cohomological interpretation of ”