Jacques Tilouine (Paris 13)
Galois levels and congruence ideals for p-adic families of automorphic forms

Abstract: There is a substantial difference between the theory of congruences of p-adic families of automorphic forms to induced ones and that to symmetric powers. The difference lies in the dimensions of the families involved. However, the comparison with the Galois level of the families still holds in both cases. This is a report on works with Hida, and by Conti and Chen.