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Strasbourg Master Class on Geometry
Edited by: Athanase Papadopoulos, Université de Strasbourg, France
A publication of the European Mathematical Society.
cover
IRMA Lectures in Mathematics and Theoretical Physics
2012; 461 pp; softcover
Volume: 18
ISBN-10: 3-03719-105-8
ISBN-13: 978-3-03719-105-7
List Price: US$68
Member Price: US$54.40
Order Code: EMSILMTP/18
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This book contains carefully revised and expanded versions of eight courses that were presented at the University of Strasbourg during two geometry master classes in 2008 and 2009.

The aim of the master classes was to give fifth-year students and Ph.D. students in mathematics the opportunity to learn new topics that lead directly to the current research in geometry and topology. The courses were taught by leading experts. The subjects treated include hyperbolic geometry, three-manifold topology, representation theory of fundamental groups of surfaces and of three-manifolds, dynamics on the hyperbolic plane with applications to number theory, Riemann surfaces, Teichmüller theory, Lie groups, and asymptotic geometry.

The text is aimed at graduate students and research mathematicians. It can also be used as a reference book and as a textbook for short courses on geometry.

A publication of the European Mathematical Society. Distributed within the Americas by the American Mathematical Society.

Readership

Graduate students and research mathematicians interested in geometry and topology.

Table of Contents

  • N. A'Campo and A. Papadopoulos -- Notes on non-Euclidean geometry
  • F. Dal'Bo -- Crossroads between hyperbolic geometry and number theory
  • F. Herrlich -- Introduction to origamis in Teichmüller space
  • P. Korablev and S. Matveev -- Five lectures on 3-manifold topology
  • G. Link -- An introduction to globally symmetric spaces
  • J. Marché -- Geometry of the representation spaces in SU(2)
  • C. Petronio -- Algorithmic construction and recognition of hyperbolic 3-manifolds, links, and graphs
  • V. Schroeder -- An introduction to asymptotic geometry
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