  These Lectures are based on a course on noncommutative geometry given by the
author in 2003 at the University of Chicago. The lectures contain some standard
material, such as Poisson and Gerstenhaber algebras, deformations, Hochschild
cohomology, Serre functors, etc. We also discuss many less known as well as
some new results, in particular, noncommutative Chern-Weil theory,
noncommutative symplectic geometry, noncommutative differential forms and
double-tangent bundles.
