**Contemporary Mathematics**

Volume: 355;
2004;
351 pp;
Softcover

MSC: Primary 30;
Secondary 32; 57

Print ISBN: 978-0-8218-3607-1

Product Code: CONM/355

List Price: $103.00

Individual Member Price: $82.40

**Electronic ISBN: 978-0-8218-7945-0
Product Code: CONM/355.E**

List Price: $103.00

Individual Member Price: $82.40

# In the Tradition of Ahlfors and Bers, III

Share this page *Edited by *
*William Abikoff; Andrew Haas*

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 Teichmüller spaces, quasiconformal mappings,
and geometric function theory. The book is suitable for graduate
students and researchers interested in complex analysis.

#### Readership

Graduate students and research mathematicians interested in complex analysis.

# Table of Contents

## In the Tradition of Ahlfors and Bers, III

- Contents v6 free
- Preface vii8 free
- Barycentric extensions of monotone maps of the circle 110 free
- A refinement of McShane's identity for quasifuchsian punctured torus groups 2130
- An explicit constant for Sullivan's convex hull theorem 4150
- Round annuli 7180
- The quasiconformal Jacobian problem 7786
- Random geodesics 97106
- Pushing the boundary 109118
- Affine automorphism groups of surfaces of infinite type 123132
- Scaling functions for degree 2 circle endomorphisms 147156
- Thompson's group as a Teichmüller mapping class group 165174
- Asymptotic Teichmüller space, Part II: The metric structure 187196
- Geometric theory of meromorphic functions 221230
- Identities in the theory of theta constants 231240
- Modular groups acting on infinite dimensional Teichmüller spaces 239248
- Some infinitesimal properties of the grafting map 255264
- Failure of Landau's theorem for quasiconformal mappings of the disc 265274
- Bumping and self-bumping of deformation spaces 269278
- Earthquake measure and cross-ratio distortion 285294
- Quasiconvexity in the curve complex 309318
- Indecomposable continua and the limit sets of Kleinian groups 321330
- A Teichmüller model for period doubling 333342