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In the Tradition of Ahlfors-Bers, VI
Edited by: Ursula Hamenstädt, University of Bonn, Germany, Alan W. Reid, University of Texas at Austin, TX, Rubi Rodríguez, Pontificia University Catholic of Chile, Santiago, Chile, Steffen Rohde, University of Washington, Seattle, WA, and Michael Wolf, Rice University, Houston, TX
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Contemporary Mathematics
2013; 189 pp; softcover
Volume: 590
ISBN-10: 0-8218-7427-6
ISBN-13: 978-0-8218-7427-1
List Price: US$76
Member Price: US$60.80
Order Code: CONM/590
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The Ahlfors-Bers Colloquia commemorate the mathematical legacy of Lars Ahlfors and Lipman Bers. The core of this legacy lies in the fields of geometric function theory, Teichmüller theory, hyperbolic geometry, and partial differential equations. However, the work of Ahlfors and Bers has impacted and created interactions with many other fields of mathematics, such as algebraic geometry, dynamical systems, topology, geometric group theory, mathematical physics, and number theory. Recent years have seen a flowering of this legacy with an increased interest in their work.

This current volume contains articles on a wide variety of subjects that are central to this legacy. These include papers in Kleinian groups, classical Riemann surface theory, translation surfaces, algebraic geometry and dynamics. The majority of the papers present new research, but there are survey articles as well.

Readership

Graduate students and research mathematicians interested in a variety of subjects related to geometric function theory.

Table of Contents

  • S. Dowdall, M. Duchin, and H. Masur -- Spheres in the curve complex
  • C. Florentino and S. Lawton -- Character varieties and moduli of quiver representations
  • E. Fujikawa -- Periodicity of asymptotic Teichmüller modular transformation
  • Z. Ibragimov -- Hyperbolization of locally compact non-complete metric spaces
  • A. Isopoussu, K. Peltonen, and J. T. Tyson -- Quasiregular maps and the conductivity equation in the Heisenberg group
  • C. Judge -- Pushing points on pillowcase covers
  • T. Koberda -- Entropy of automorphisms, homology and the intrinsic polynomial structure of nilpotent groups
  • G. F. Lawler -- Continuity of radial and two-sided radial \(SLE\) at the terminal point
  • M. Matsuzaki and Y. Yabuki -- No proper conjugation for quasiconvex cocompact groups of Gromov hyperbolic spaces
  • H. Miyachi -- A differential formula for extremal length
  • O. Ostapyuk -- On convergence to the Denjoy-wolff point in the parabolic case
  • S. Pal -- Construction of a closed hyperbolic surface of arbitrarily small eigenvalue of prescribed serial number
  • J. Paupert -- A simple method to compute volumes of even-dimensional Coxeter polyhedra
  • P. Poggi-Corradini -- Some remarks about analytic functions defined on an annulus
  • H. Shiga -- On injectivity radius in configuration space and in moduli space
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