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Big image of Galois representations associated with finite slope $p$-adic families of modular forms by Conti, Andrea; Iovita, Adrian; Tilouine, Jacques is a scholarly article available to read on EtoBox.

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

We consider the Galois representation associated with a finite slope $p$-adic family of modular forms. We prove that the Lie algebra of its image contains a congruence Lie subalgebra of a non-trivial level. We describe the largest such level in terms of the congruences of the family with $p$-adic CM forms.

Author

Conti, Andrea; Iovita, Adrian; Tilouine, Jacques

Published

2015

Language

EN