  According to the Banks-Casher formula the chiral order parameter is directly
related to the spectrum of the Dirac operator. In this lecture, we will argue
that some properties of the Dirac spectrum are universal and can be obtained
from a random matrix theory with the global symmetries of the QCD partition
function. In particular, this is true for the spectrum near zero on the scale
of a typical level spacing. Alternatively, the chiral order parameter can be
characterized by the zeros of the partition function. We will analyze such
zeros for a random matrix model at nonzero chemical potential.
