These notes arise from a
minicourse given by the two authors at the Summer School on Poisson Geometry,
ICTP, 2005. The main reference is our recent monograph “Poisson structures and
their normal forms”, Progress in Mathematics, Volume 242, Birkhauser, 2005. The
aim of these notes is to give an introduction to Poisson structures and a
study of their local normal forms, via Poisson cohomology and analytical
techniques.