  This note is an overview of the Poisson sigma model (PSM) and its
applications in deformation quantization. Reduction of coisotropic and
pre-Poisson submanifolds, their appearance as branes of the PSM, quantization
in terms of L-infinity and A-infinity algebras, and bimodule structures are
recalled. As an application, an "almost" functorial quantization of Poisson
maps is presented if no anomalies occur. This leads in principle to a novel
approach for the quantization of Poisson-Lie groups.
