  This is a set of expanded lecture notes from the Berkovich Space seminar held
at the University of Georgia during Spring, 2004. The purpose of the notes is
to provide a non-technical introduction to Berkovich spaces, and to develop the
foundations for analysis on the Berkovich projective line, with a view toward
applications in dynamics. After describing the underlying topological space and
the sheaf of functions on the Berkovich line, we introduce the Hsia kernel, the
fundamental kernel for potential theory. We develop a theory of capacities,
define a Laplacian operator, and construct a theory of harmonic functions. We
then develop the theory of subharmonic functions and give applications to
dynamics, including a construction of the Lyubich measure attached to a
rational function.
