id author title date pages extension mime words sentence flesch summary cache txt c821gh96f72 Eric Wawerczyk Congruences between Ordinary Symplectic Galois Representations 2019 .txt text/plain 114 4 35 First, we calculate lower bounds on the degree of the weight space map for Hida families given assumptions on the p-adic L-invariant (or the adjoint L-invariant) of a weight (3,3) automorphic representation on the Hida family when such an L-invariant is defined using theorems of Giovanni Rosso. We prove the existence of congruences between ordinary symplectic Galois representations in two different settings. cache/c821gh96f72.txt txt/c821gh96f72.txt