CP-Violating Asymmetries in K^+ -> 3 pi in the Standard Model

We update the CP-violating asymmetries in K^+ -> 3 pi. In particular we study Delta g_C and Delta g_N -the asymmetries in the slope g. We emphasize its complementarity to the direct CP-violation parameter epsilon_K' and the large sensitivity to the size of the imaginary part of the octet coupling Im G_8 at lowest order in CHPT. We also give the prospects of a full calculation at next-to-leading order of this and other CP-violating asymmetries which will be presented elsewhere.