Collection Mathematics is a long conversation: a celebration of Barry Mazur
Organizer(s)
Date(s)
29/04/2024
Galois Deformation Ring and its Base Change to a Real Quadratic Field
By Haruzo Hida
For almost all primes split in a real quadratic field, we describe how to determine the isomorphism class of the universal ordinary deformation ring of a 2-dimensional induced representation from the Galois group over the real field.As an application, we can write down explicitly its base change to the quadratic field and the adjoint Selmer group of the universal deformation.
