This is an announcement for the paper "The local non-homogeneous Tb theorem for vector-valued functions" by Tuomas P. Hytonen and Antti V. Vahakangas. Abstract: We extend the local non-homogeneous Tb theorem of Nazarov, Treil and Volberg to the setting of singular integrals with operator-valued kernel that act on vector-valued functions. Here, `vector-valued' means `taking values in a function lattice with the UMD (unconditional martingale differences) property'. A similar extension (but for general UMD spaces rather than UMD lattices) of Nazarov-Treil-Volberg's global non-homogeneous Tb theorem was achieved earlier by the first author, and it has found applications in the work of Mayboroda and Volberg on square-functions and rectifiability. Our local version requires several elaborations of the previous techniques, and raises new questions about the limits of the vector-valued theory. Archive classification: math.FA Mathematics Subject Classification: 42B20 (Primary), 42B25, 46E40, 60G46 (Secondary) Submitted from: antti.vahakangas@helsinki.fi The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1201.0648 or http://arXiv.org/abs/1201.0648