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The Ahlfors-Bers Colloquia commemorate the mathematical legacy of
Lars Ahlfors and Lipman Bers. The core of this legacy lies in the
fields of geometric function theory, Teichmuller theory, hyperbolic
geometry, and partial differential equations. Today we see the
influence of Ahlfors and Bers on algebraic geometry, mathematical
physics, dynamics, probability, geometric group theory, number
theory and topology. Recent years have seen a flowering of this
legacy with an increased interest in their work. This current
volume contains articles on a wide variety of subjects that are
central to this legacy. These include papers in Kleinian groups,
classical Riemann surface theory, Teichmuller theory, mapping class
groups, geometric group theory, and statistical mechanics.
The subject of Kleinian groups and hyperbolic 3-manifolds is
currently undergoing explosively fast development, the last few
years having seen the resolution of many longstanding conjectures.
This volume contains important expositions and original work by
some of the main contributors on topics such as topology and
geometry of 3-manifolds, curve complexes, classical Ahlfors-Bers
theory, computer explorations and projective structures.
Researchers in these and related areas will find much of interest
here from the explosion in the area over recent years, including
important and original research from leading names in the field.
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