Moduli Spaces of Riemann Surfaces (Ias/Park City Mathematics) (IAS/Park City Mathematics Series) - Hardcover

Hardcover

ISBN 10: 0821898876 ISBN 13: 9780821898871

Publisher: American Mathematical Society, 2013

Synopsis

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 Teichmuller 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.

About this title

About the Author

Benson Farb, University of Chicago, IL, USA

Richard Hain, Duke University, Durham, NC, USA

Eduard Looijenga, Universiteit Utrecht, Netherlands, and Tsinghua University, Beijing, China

Edition details

• Publisher: American Mathematical Society
• Publication date: 2013
• Language: English
• ISBN 10: 0821898876
• ISBN 13: 9780821898871
• Binding: Hardcover
• Number of pages: 364
• Editor: Farb Benson, Hain Richard, Looijenga Eduard