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In the Tradition of Ahlfors and Bers : Proceedings of the First Ahlfors-Bers Colloquim.

By: Contributor(s): Material type: TextTextSeries: Contemporary MathematicsPublisher: Providence : American Mathematical Society, 2000Copyright date: ©2000Edition: 1st edDescription: 1 online resource (306 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780821878460
Subject(s): Genre/Form: Additional physical formats: Print version:: In the Tradition of Ahlfors and BersDDC classification:
  • 515
LOC classification:
  • QA331 -- .A462 1998eb
Online resources:
Contents:
Intro -- Contents -- Preface -- Quasiconformal mappings and geodesics in the hyperbolic plane -- Lars Ahlfors and the Painlevé problem -- The Ahlfors mollifiers -- Asymptotic Teichmüller space, Part I: The complex structure -- Variation of moduli under holomorphic motions -- Effectiveness of Teichmüller modular groups -- Special sets of points on compact Riemann surfaces -- Three term theta identities -- Some remarks on the monodromy map -- Coverings of Cantor sets -- Local boundary dilatation -- The Apollonian metric and quasiconformal mappings -- Complexity of a Turing machine discreteness algorithm -- Kernel functions, Poincaré series, and LVA -- On components of spaces of PSL2(C)-representations of extended quasifuchsian groups -- Composition and length of hyperbolic motions -- Automorphisms of Thurston's space of measured laminations -- On spaces of classical Schottky groups -- Unstable quasi-geodesics in Teichmüller space -- Convergence of the Hausdorff dimension of the limit sets of Kleinian groups -- Nielsen's algorithm to decide whether a group is Fuchsian -- One-parameter families of extreme discrete groups for Jørgensen's inequality -- Automorphic coefficient sums and the quantum ergodicity question.
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Intro -- Contents -- Preface -- Quasiconformal mappings and geodesics in the hyperbolic plane -- Lars Ahlfors and the Painlevé problem -- The Ahlfors mollifiers -- Asymptotic Teichmüller space, Part I: The complex structure -- Variation of moduli under holomorphic motions -- Effectiveness of Teichmüller modular groups -- Special sets of points on compact Riemann surfaces -- Three term theta identities -- Some remarks on the monodromy map -- Coverings of Cantor sets -- Local boundary dilatation -- The Apollonian metric and quasiconformal mappings -- Complexity of a Turing machine discreteness algorithm -- Kernel functions, Poincaré series, and LVA -- On components of spaces of PSL2(C)-representations of extended quasifuchsian groups -- Composition and length of hyperbolic motions -- Automorphisms of Thurston's space of measured laminations -- On spaces of classical Schottky groups -- Unstable quasi-geodesics in Teichmüller space -- Convergence of the Hausdorff dimension of the limit sets of Kleinian groups -- Nielsen's algorithm to decide whether a group is Fuchsian -- One-parameter families of extreme discrete groups for Jørgensen's inequality -- Automorphic coefficient sums and the quantum ergodicity question.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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