Moduli Spaces of Riemann Surfaces

Mapping class groups and moduli spaces of
Riemann surfaces were the topics of the Graduate Summer School at the
2011 IAS/Park City Mathematics Institute. This book presents the nine
different lecture series comprising the summer school, covering a
selection of topics of current interest. The introductory courses treat
mapping class groups and Teichmüller theory. The more advanced courses
cover intersection theory on moduli spaces, the dynamics of polygonal
billiards and moduli spaces, the stable cohomology of mapping class
groups, the structure of Torelli groups, and arithmetic mapping class
groups.

The courses consist of a set of intensive short lectures
offered by leaders in the field, designed to introduce students to
exciting, current research in mathematics. These lectures do not
duplicate standard courses available elsewhere. The book should be a
valuable resource for graduate students and researchers interested in
the topology, geometry and dynamics of moduli spaces of Riemann
surfaces and related topics.

Titles in this series are
co-published with the Institute for Advanced Study/Park City
Mathematics Institute. Members of the Mathematical Association of
America (MAA) and the National Council of Teachers of Mathematics
(NCTM) receive a 20% discount from list price.