The papers in this collection were presented at the First Ahlfors-Bers Colloquium - a conference held in the tradition of Lars Ahlfors and Lipman Bers. These conferences have been perpetuated to honor and carry on their work in the field of complex analysis, which so influenced their students, colleagues, and a new generation of mathematicians. The papers cover complex analysis, Riemann surfaces, Teichmuller theory and hyperbolic manifolds: most of the works include original contributions to the field, and others survey various aspects of the field, including papers by Lennart Carleson, Clifford Earle, and Dennis Hejhal on the contributions of Lars Ahlfors.
Quasiconformal mappings and geodesics in the hyperbolic plane by A. Basmajian Lars Ahlfors and the Painleve problem by L. Carleson The Ahlfors mollifiers by C. J. Earle Asymptotic Teichmuller space, Part I: The complex structure by C. J. Earle, F. P. Gardiner, and N. Lakic Variation of moduli under holomorphic motions by C. J. Earle and S. Mitra Effectiveness of Teichmuller modular groups by A. L. Epstein Special sets of points on compact Riemann surfaces by H. M. Farkas and I. Kra Three term theta identities by H. M. Farkas and I. Kra Some remarks on the monodromy map by D. M. Gallo Coverings of Cantor sets by F. P. Gardiner and L. Keen Local boundary dilatation by F. P. Gardiner and N. Lakic The Apollonian metric and quasiconformal mappings by F. W. Gehring and K. Hag Complexity of a Turing machine discreteness algorithm by J. Gilman Kernel functions, Poincare series, and LVA by D. A. Hejhal On components of spaces of $\mathrm{PSL}_2{(\mathbb C)}$-representations of extended quasifuchsian groups by J. Huisman Composition and length of hyperbolic motions by T. Jorgensen Automorphisms of Thurston's space of measured laminations by F. Luo On spaces of classical Schottky groups by B. Maskit Unstable quasi-geodesics in Teichmuller space by H. A. Masur and Y. N. Minsky Convergence of the Hausdorff dimension of the limit sets of Kleinian groups by K. Matsuzaki Nielsen's algorithm to decide whether a group is Fuchsian by R. Riley One-parameter families of extreme discrete groups for Jorgensen's inequality by H. Sato Automorphic coefficient sums and the quantum ergodicity question by S. A. Wolpert.
