In the Tradition of Ahlfors and Bers, III

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Brand new. We distribute directly for the publisher. This proceedings volume reflects the 2001 Ahlfors-Bers Colloquium held at the University of Connecticut (Storrs). This ... conference began nearly a half century ago with a tradition based on profound mathematics, wide-ranging interests, personal involvement, and scholarship. Once led by Lipman Bers and Lars Ahlfors, the core of this tradition unfolded around geometric function theory.Talks at the colloquium were devoted to various aspects of complex analysis, including Teichmller spaces, quasiconformal mappings, and geometric function theory. The book is suitable for graduate students and researchers interested in complex analysis. Read more Show Less

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Overview

This proceedings volume reflects the 2001 Ahlfors-Bers Colloquium held at the University of Connecticut (Storrs). This conference began nearly a half century ago with a tradition based on profound mathematics, wide-ranging interests, personal involvement, and scholarship. Once led by Lipman Bers and Lars Ahlfors, the core of this tradition unfolded around geometric function theory. Talks at the colloquium were devoted to various aspects of complex analysis, including Teichmuller spaces, quasiconformal mappings, and geometric function theory. The book is suitable for graduate students and researchers interested in complex analysis.

Read More Show Less

Product Details

  • ISBN-13: 9780821836071
  • Publisher: American Mathematical Society
  • Publication date: 7/14/2004
  • Series: Contemporary Mathematics Series , #355
  • Pages: 351
  • Product dimensions: 72.50 (w) x 10.25 (h) x 7.50 (d)

Table of Contents

Barycentric extensions of monotone maps of the circle 1
A refinement of McShane's identity for quasifuchsian punctured torus groups 21
An explicit constant for Sullivan's convex hull theorem 41
Round annuli 71
The quasiconformal Jacobian problem 77
Random geodesics 97
Pushing the boundary 109
Affine automorphism groups of surfaces of infinite type 123
Scaling functions for degree 2 circle endomorphisms 147
Thompson's group as a Teichmuller mapping class group 165
Asymptotic Teichmuller space, part II : the metric structure 187
Geometric theory of meromorphic functions 221
Identities in the theory of theta constants 231
Modular groups acting on infinite dimensional Teichmuller spaces 239
Some infinitesimal properties of the grafting map 255
Failure of Landau's theorem for quasiconformal mappings of the disc 265
Bumping and self-bumping of deformation spaces 269
Earthquake measure and cross-ratio distortion 285
Quasiconvexity in the curve complex 309
Indecomposable continua and the limit sets of Kleinian groups 321
A Teichmuller model for period doubling 333
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