Geometry, Topology and Dynamics of Character Varieties

Overview

Geometry, Topology and Dynamics of Character Varieties

This volume is based on lectures given at the highly successful three-week Summer School on Geometry, Topology and Dynamics of Character Varieties held at the National University of Singapore's Institute for Mathematical Sciences in July 2010.

Aimed at graduate students in the early stages of research, the edited and refered articles comprise an excellent introduction to the subject of the ...

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Overview

Geometry, Topology and Dynamics of Character Varieties

This volume is based on lectures given at the highly successful three-week Summer School on Geometry, Topology and Dynamics of Character Varieties held at the National University of Singapore's Institute for Mathematical Sciences in July 2010.

Aimed at graduate students in the early stages of research, the edited and refered articles comprise an excellent introduction to the subject of the program, much of which is otherwise available only in specialized texts. Topics include hyperbolic structures on surfaces and their degenerations, applications of ping-pong Lemmas in various contexts, introductions to Lorenzian and complex hyperbolic geometry, and representation varieties of surface groups into PSL (2, R) and other semi-simple Lie groups. This volume will serve as a useful portal to students and researchers in a vibrant and multi-faceted area of mathematics.

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Product Details

  • ISBN-13: 9789814401357
  • Publisher: World Scientific Publishing Company, Incorporated
  • Publication date: 7/28/2012
  • Pages: 349
  • Sales rank: 1,271,848
  • Product dimensions: 6.10 (w) x 9.00 (h) x 0.90 (d)

Meet the Author

William Goldman
William Goldman
His name may be most familiar from award-winning screenplays such as All the President's Men, but William Goldman had a previous life as an original, enthralling novelist who is worth exploring both for his books that would become great movies (The Princess Bride, Marathon Man) and for the ones that didn't.

Biography

William Goldman, screenwriter, prior to Dreamcatcher, adapted the Stephen King books Hearts in Atlantis and Misery for Castle Rock Entertainment.

Goldman won Academy Awards® for his adaptation of the incisive political expose, All the President's Men, and for his original script, Butch Cassidy and the Sundance Kid. Both screenplays also earned him Writers Guild Awards. Other honors include Lifetime Achievement Awards from the WGA and from the National Board of Review of Motion Pictures. Goldman has been an author for forty-five years.

Since his first novel, The Temple of Gold, he has written more than two dozen books, both fiction and nonfiction.

Author biography courtesy of Newmarket Press.

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    1. Also Known As:
      Harry Longbaugh (No Way to Treat a Lady) and S. Morgenstern (The Princess Bride and The Silent Gondoliers)
    2. Hometown:
      New York, New York
    1. Date of Birth:
      August 12, 1931
    2. Place of Birth:
      Chicago, Illinois
    1. Education:
      B.A., Oberlin College, 1952; M.A., Columbia University, 1956

Table of Contents

Foreword vii

Preface ix

An Invitation to Elementary Hyperbolic Geometry Ying Zhang 1

Hyperbolic Structures on Surfaces Javier Aramayana 65

Degenerations of Hyperbolic Structures on Surfaces Christopher J. Leininger 95

Ping-Pong Lemmas with Applications to Geometry and Topology Thomas Koberda 139

Creating Software for Visualizing Kleinian Groups Yasushi Yamashita 159

Traces in Complex Hyperbolic Geometry John R. Parker 191

Lorentzian Geometry Todd A. Drumm 247

Connected Components of PGL (2, R)-Representation Spaces of Non-Orientable Surfaces Frédéric Palesi 281

Rigidity and Flexibility of Surface Groups in Semisimple Lie Groups Inkang Kim 297

Abelian and Non-Abelian Cohomology Eugene Z. Xia 309

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