
Preface  Introduction  Table of Contents 
IAS/Park City Mathematics Series 2013; 356 pp; hardcover Volume: 20 ISBN10: 0821898876 ISBN13: 9780821898871 List Price: US$75 Member Price: US$60 Order Code: PCMS/20 See also: Analytic and Algebraic Geometry: Common Problems, Different Methods  Jeffery McNeal and Mircea Mustata Riemann Surfaces by Way of Complex Analytic Geometry  Dror Varolin Quasiconformal Teichmüller Theory  Frederick P Gardiner and Nikola Lakic  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 copublished 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. Readership Graduate students and research mathematicians interested in Moduli Spaces of Riemann surfaces. 


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