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Elliptic Curves, Modular Forms and Iwasawa Theory - Conference in honour of the 70th birthday of John Coates

JHC70 2015: Elliptic Curves, Modular Forms and Iwasawa Theory pp 87–123Cite as

Big Image of Galois Representations Associated with Finite Slope p-adic Families of Modular Forms

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Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 188))

Abstract

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.

The work of Conti and Tilouine is supported by the Programs ArShiFo ANR-10-BLAN-0114 and PerColaTor ANR-14-CE25-0002-01.

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Notes

  1. 1.

    A. Conti.

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Author information

Authors and Affiliations

  1. Université Paris 13, Sorbonne Paris Cité, LAGA, CNRS (UMR 7539), 99, Avenue J.-B. Clément, 93430, Villetaneuse, France

    Andrea Conti & Jacques Tilouine

  2. Department of Mathematics and Statistics, Concordia University, Montreal, Canada

    Adrian Iovita

  3. Dipartimento di Matematica, Universita Degli Studi di Padova, Padova, Italy

    Adrian Iovita

Authors
  1. Andrea Conti
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  2. Adrian Iovita
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  3. Jacques Tilouine
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Corresponding author

Correspondence to Andrea Conti .

Editor information

Editors and Affiliations

  1. Mathematics Institute, University of Warwick, Coventry, United Kingdom

    David Loeffler

  2. Department of Mathematics, University College London, London, United Kingdom

    Sarah Livia Zerbes

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Conti, A., Iovita, A., Tilouine, J. (2016). Big Image of Galois Representations Associated with Finite Slope p-adic Families of Modular Forms. In: Loeffler, D., Zerbes, S. (eds) Elliptic Curves, Modular Forms and Iwasawa Theory. JHC70 2015. Springer Proceedings in Mathematics & Statistics, vol 188. Springer, Cham. https://doi.org/10.1007/978-3-319-45032-2_3

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