Number Theory Seminar

With E. Urban, we generalize our construction of a Hecke equivariant map relating the fundamental group of the simplicial deformation ring of an automorphic Galois representation $\rho_\pi$ to its adjoint Selmer group (say, for $\pi$ a cohomological cuspidal automorphic representation on GL_N over a CM field) to the situation of Hida families.