The eta-part of Kato's main conjecture for residual representations
Let ρ‾\overline{\rho}ρ be an absolutely irreducible residual rank-two representation, let Δ=Gal(Q(ζp)/Q)\Delta=\operatorname{Gal}(\mathbb{Q}(\zeta_p)/\mathbb{Q})Δ=Gal(Q(ζp)/Q), and let…