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, Teichm¨ uller theory, hyperbolic geometry, and partial differential
equations. However, the work of Ahlfors and Bers has impacted and created interac-
tions with many other fields of mathematics, such as algebraic geometry, dynamical
systems, topology, geometric group theory, mathematical physics, and number the-
ory. Recent years have seen a flowering of this legacy with an increased interest in
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, translation surfaces, algebraic geometry and dynamics. The major-
ity of the papers present new research, but there are survey articles as well.
There have been five volumes of these colloquia previously published by AMS
in the Contemporary Mathematics Series: volumes 211, 256, 335, 432, and 510.
Alan W. Reid
Rub´ ı E. Rodr´ıguez