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.
Barycentric extensions of monotone maps of the circle by W. Abikoff, C. J. Earle, and S. Mitra A refinement of McShane's identity for quasifuchsian punctured torus groups by H. Akiyoshi, H. Miyachi, and M. Sakuma An explicit constant for Sullivan's convex hull theorem by C. J. Bishop Round annuli by G. Ble, A. Douady, and C. Henriksen The quasiconformal Jacobian problem by M. Bonk, J. Heinonen, and E. Saksman Random geodesics by M. Bridgeman Pushing the boundary by R. D. Canary Affine automorphism groups of surfaces of infinite type by R. Chamanara Scaling functions for degree 2 circle endomorphisms by G. Cui, F. P. Gardiner, and Y. Jiang Thompson's group as a Teichmuller mapping class group by E. de Faria, F. P. Gardiner, and W. J. Harvey Asymptotic Teichmuller space, part II: The metric structure by C. J. Earle, F. P. Gardiner, and N. Lakic Geometric theory of meromorphic functions by A. Eremenko Identities in the theory of theta constants by H. M. Farkas and I. Kra Modular groups acting on infinite dimensional Teichmuller spaces by E. Fujikawa Some infinitestimal properties of the grafting map by D. M. Gallo Failure of Landau's theorem for quasiconformal mappings of the disc by P. M. Gauthier and M. R. Pouryayevali Bumping and self-bumping of deformation spaces by J. Holt Earthquake measure and cross-ratio distortion by J. Hu Quasiconvexity in the curve complex by H. A. Masur and Y. N. Minsky Indecomposable continua and the limit sets of Kleinian groups by K. Matsuzaki A Teichmuller model for period doubling by I. Petrovic.