[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.
Disciplines :
Mathematics
Author, co-author :
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
External co-authors :
yes
Language :
English
Title :
Big image of Galois representations associated with finite slope p-adic families of modular forms
Publication date :
2016
Event name :
Elliptic Curves, Modular Forms and Iwasawa Theory: In Honour of John H. Coates' 70th Birthday
Event place :
Cambridge, United Kingdom
Event date :
March 2015
Audience :
International
Main work title :
Elliptic Curves, Modular Forms and Iwasawa Theory: In Honour of John H. Coates' 70th Birthday
Author, co-author :
Loeffler, David
Zerbes, Sarah Livia
Publisher :
Springer
Collection name :
Springer Proceedings in Mathematics & Statistics, 188
