Moduli Spaces of Riemann Surfaces

✍ Scribed by Benson Farb, Richard Hain, Eduard Looijenga

Publisher: American Mathematical Society
Year: 2013
Tongue: English
Leaves: 370
Series: IAS/Park City Mathematics Series
Category: Library

No coin nor oath required. For personal study only.

✦ 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 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.

✦ Subjects

Calculus;Pure Mathematics;Mathematics;Science & Math;Calculus;Mathematics;Science & Mathematics;New, Used & Rental Textbooks;Specialty Boutique

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