Contemporary Mathematics 2000; 296 pp; softcover Volume: 256 ISBN10: 0821813714 ISBN13: 9780821813713 List Price: US$79 Member Price: US$63.20 Order Code: CONM/256
 The papers in this collection were presented at the First AhlforsBers Colloquiuma 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, Teichmüller 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. Readership Advanced graduate students and researchers working in the broad areas of Riemann surfaces, Teichmüller theory, hyperbolic geometry, and algebraic curves. Table of Contents  A. Basmajian  Quasiconformal mappings and geodesics in the hyperbolic plane
 L. Carleson  Lars Ahlfors and the Painlevé problem
 C. J. Earle  The Ahlfors mollifiers
 C. J. Earle, F. P. Gardiner, and N. Lakic  Asymptotic Teichmüller space, Part I: The complex structure
 C. J. Earle and S. Mitra  Variation of moduli under holomorphic motions
 A. L. Epstein  Effectiveness of Teichmüller modular groups
 H. M. Farkas and I. Kra  Special sets of points on compact Riemann surfaces
 H. M. Farkas and I. Kra  Three term theta identities
 D. M. Gallo  Some remarks on the monodromy map
 F. P. Gardiner and L. Keen  Coverings of Cantor sets
 F. P. Gardiner and N. Lakic  Local boundary dilatation
 F. W. Gehring and K. Hag  The Apollonian metric and quasiconformal mappings
 J. Gilman  Complexity of a Turing machine discreteness algorithm
 D. A. Hejhal  Kernel functions, Poincaré series, and LVA
 J. Huisman  On components of spaces of \(\mathrm{PSL}_2{(\mathbb C)}\)representations of extended quasifuchsian groups
 T. Jorgensen  Composition and length of hyperbolic motions
 F. Luo  Automorphisms of Thurston's space of measured laminations
 B. Maskit  On spaces of classical Schottky groups
 H. A. Masur and Y. N. Minsky  Unstable quasigeodesics in Teichmüller space
 K. Matsuzaki  Convergence of the Hausdorff dimension of the limit sets of Kleinian groups
 R. Riley  Nielsen's algorithm to decide whether a group is Fuchsian
 H. Sato  Oneparameter families of extreme discrete groups for Jørgensen's inequality
 S. A. Wolpert  Automorphic coefficient sums and the quantum ergodicity question
