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

Andrea Conti; Adrian Iovita; Jacques Tilouine

Conference Proceedings

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

Conti A
Iovita A
Tilouine J

Springer Proceedings in Mathematics and Statistics (2016) 188 87-123

DOI: 10.1007/978-3-319-45032-2_3

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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 sub-algebra of a certain level. We interpret this level in terms of congruences with CM forms.

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CM forms
Eigenvarieties
Galois representations
Lie algebras
Modular forms
Relative Sen theory

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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 Springer Proceedings in Mathematics and Statistics (Vol. 188, pp. 87–123). Springer New York LLC. https://doi.org/10.1007/978-3-319-45032-2_3

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

Abstract

Author supplied keywords

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