Big image of Galois representations associated with finite slope $p$-adic families of modular forms - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2015

Big image of Galois representations associated with finite slope $p$-adic families of modular forms

Résumé

We prove that the Lie algebra of the image of the Galois representation associated with a finite slope family of modular forms contains a congruence subalgebra of a certain level. We interpret this level in terms of congruences with CM forms.
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Dates et versions

hal-01183284 , version 1 (16-08-2015)
hal-01183284 , version 2 (10-12-2016)

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Andrea Conti, Adrian Iovita, Jacques Tilouine. Big image of Galois representations associated with finite slope $p$-adic families of modular forms. 2015. ⟨hal-01183284v1⟩
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