**
Harm Voskuil**,
*
Mumford curves, discontinuous groups and coverings of the
projective line
*

**Abstract.**
The first hour of the talk will consist of a brief introduction to
rigid analytic geometry. Furthermore, the p-adic upper halfplane and
Mumford curves will be discussed. In the second part of the talk, the
structure of discontinuous groups acting on the p-adic upper halfplane
and Galois coverings of the projective line by Mumford curves will be
treated. In particular, the relation between the structure of the
discontinuous group and the number of branch points of the covering
map will be discussed. (this is joint work with M. van der Put).