  In this contribution we review some recent work on the non-commutative
geometry of branes on group manifolds. In particular, we show how fuzzy spaces
arise in this context from an exact world-sheet description and we sketch the
construction of a low-energy effective action for massless open string modes.
The latter is given by a combination of a Yang-Mills and a Chern-Simons like
functional on the fuzzy world-volume. It can be used to study condensation on
various brane configurations in curved backgrounds.
