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

English

Conti, Andrea[University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]

Tilouine, Jacques[Université Paris 13 > Mathematics > LAGA > Professor]

Iovita, Adrian[Concordia University - Università di Padova > Mathematics > > Professor]

2016

Elliptic Curves, Modular Forms and Iwasawa Theory: In Honour of John H. Coates' 70th Birthday

Loeffler, David

Zerbes, Sarah Livia

Springer

Springer Proceedings in Mathematics & Statistics, 188

87-123

Yes

No

International

Elliptic Curves, Modular Forms and Iwasawa Theory: In Honour of John H. Coates' 70th Birthday

March 2015

Cambridge

United Kingdom

[en] We consider the Galois representation associated with a finite slope, non-CM p-adic family of Hecke eigenforms, and prove that the Lie algebra of its image contains a congruence Lie subalgebra of non-trivial level. We describe the largest such level in terms of the congruences of the family with p-adic CM eigenforms.