Since the advent of SN 1987A, considerable progress has been made in o
ur understanding of supernova explosions. It is now realized that they
are intrinsically multidimensional in nature due to the various hydro
dynamical instabilities which take place at almost all stages of the e
xplosion. These instabilities not only modify the observables from the
supernova, but are also thought to be at the heart of the supernova m
echanism itself, in a way which provides robust and self-regulated exp
losions. In this paper, we review these instabilities placing them int
o their appropriate context and identifying their role in the genesis
of core-collapse supernovae.