This volume collects lecture notes from nine lecture series delivered at the July 2011 Park City Mathematics Institute on mapping class groups and moduli spaces of Riemann surfaces. The speakers introduce the mapping class group of a surface, geometric aspects of Teichmuller theory, homological stability, the Madsen-Weiss theorem, Weil-Petersson volumes of moduli spaces of bordered Riemann surfaces, Teichmuller curves, and arithmetic fundamental groups. No index is provided. Annotation ©2013 Book News, Inc., Portland, OR (booknews.com)
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Benson Farb, University of Chicago, IL, USA
Richard Hain, Duke University, Durham, NC, USA
Eduard Looijenga, Universiteit Utrecht, Netherlands, and Tsinghua University, Beijing, China
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Zustand: New. Editor(s): Farb, Benson; Hain, Richard; Looijenga, Eduard. Series: IAS/Park City Mathematics. Num Pages: 364 pages, illustrations. BIC Classification: PBKD. Category: (G) General (US: Trade). Dimension: 260 x 185 x 24. Weight in Grams: 798. . 2013. Hardcover. . . . . Artikel-Nr. V9780821898871
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Hardback. Zustand: New. 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. Artikel-Nr. LU-9780821898871
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Zustand: New. Editor(s): Farb, Benson; Hain, Richard; Looijenga, Eduard. Series: IAS/Park City Mathematics. Num Pages: 364 pages, illustrations. BIC Classification: PBKD. Category: (G) General (US: Trade). Dimension: 260 x 185 x 24. Weight in Grams: 798. . 2013. Hardcover. . . . . Books ship from the US and Ireland. Artikel-Nr. V9780821898871
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Hardback. Zustand: New. 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. Artikel-Nr. LU-9780821898871
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