In the Tradition of Ahlfors and Bers, III

In the Tradition of Ahlfors and Bers, III

by William Abikoff
     
 

ISBN-10: 0821836072

ISBN-13: 9780821836071

Pub. Date: 07/14/2004

Publisher: American Mathematical Society

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

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.

Product Details

ISBN-13:
9780821836071
Publisher:
American Mathematical Society
Publication date:
07/14/2004
Series:
Contemporary Mathematics Series, #355
Pages:
351
Product dimensions:
72.50(w) x 10.25(h) x 7.50(d)

Table of Contents

Prefacevii
Barycentric extensions of monotone maps of the circle1
A refinement of McShane's identity for quasifuchsian punctured torus groups21
An explicit constant for Sullivan's convex hull theorem41
Round annuli71
The quasiconformal Jacobian problem77
Random geodesics97
Pushing the boundary109
Affine automorphism groups of surfaces of infinite type123
Scaling functions for degree 2 circle endomorphisms147
Thompson's group as a Teichmuller mapping class group165
Asymptotic Teichmuller space, Part II: The metric structure187
Geometric theory of meromorphic functions221
Identities in the theory of theta constants231
Modular groups acting on infinite dimensional Teichmuller spaces239
Some infinitesimal properties of the grafting map255
Failure of Landau's theorem for quasiconformal mappings of the disc265
Bumping and self-bumping of deformation spaces269
Earthquake measure and cross-ratio distortion285
Quasiconvexity in the curve complex309
Indecomposable continua and the limit sets of Kleinian groups321
A Teichmuller model for period doubling333

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