BIRS Workshop Lecture Videos
Galois Deformation Ring and Base Change to a Quadratic Field. Hida, Haruzo
Consider the universal minimal p-ordinary deformation rT into GL(2, T ) (for a prime p â ¥ 5) of a modulo p induced representation from a quadratic field F. For almost all primes p split in F, we describe how to determine T as an algebra over the weight Iwasawa algebra Î as an extension of degree 1,2,3. This implies that the Pontryagin dual of the adjoint Selmer group of rT is isomorphic to Î /(Lp) as Lambda-modules for an explicit power series Lp.
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