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Book DetailsContemporary MathematicsVolume: 256; 2000; 296 ppMSC: Primary 30; Secondary 11; 32; 57;
The papers in this collection were presented at the First AhlforsBers 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, 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.ReadershipAdvanced graduate students and researchers working in the broad areas of Riemann surfaces, Teichmüller theory, hyperbolic geometry, and algebraic curves.

Table of Contents

Articles

Ara Basmajian  Quasiconformal mappings and geodesics in the hyperbolic plane [ MR 1759665 ]

Lennart Carleson  Lars Ahlfors and the Painlevé problem [ MR 1759666 ]

Clifford J. Earle  The Ahlfors mollifiers [ MR 1759667 ]

C. J. Earle, F. P. Gardiner and N. Lakic  Asymptotic Teichmüller space. I. The complex structure [ MR 1759668 ]

Clifford J. Earle and Sudeb Mitra  Variation of moduli under holomorphic motions [ MR 1759669 ]

Adam Lawrence Epstein  Effectiveness of Teichmüller modular groups [ MR 1759670 ]

Hershel M. Farkas and Irwin Kra  Special sets of points on compact Riemann surfaces [ MR 1759671 ]

Hershel M. Farkas and Irwin Kra  Three term theta identities [ MR 1759672 ]

Daniel M. Gallo  Some remarks on the monodromy map [ MR 1759673 ]

Frederick P. Gardiner and Linda Keen  Coverings of Cantor sets [ MR 1759674 ]

Frederick P. Gardiner and Nikola Lakic  Local boundary dilatation [ MR 1759675 ]

F. W. Gehring and K. Hag  The Apollonian metric and quasiconformal mappings [ MR 1759676 ]

Jane Gilman  Complexity of a Turing machine discreteness algorithm [ MR 1759677 ]

Dennis A. Hejhal  Kernel functions, Poincaré series, and LVA [ MR 1759678 ]

J. Huisman  On components of spaces of ${\rm PSL}_2({\bf C})$representations of extended quasifuchsian groups [ MR 1759679 ]

Troels Jorgensen  Composition and length of hyperbolic motions [ MR 1759680 ]

Feng Luo  Automorphisms of Thurston’s space of measured laminations [ MR 1759681 ]

Bernard Maskit  On spaces of classical Schottky groups [ MR 1759682 ]

Howard A. Masur and Yair N. Minsky  Unstable quasigeodesics in Teichmüller space [ MR 1759683 ]

Katsuhiko Matsuzaki  Convergence of the Hausdorff dimension of the limit sets of Kleinian groups [ MR 1759684 ]

Robert Riley  Nielsen’s algorithm to decide whether a group is Fuchsian [ MR 1759685 ]

Hiroki Sato  Oneparameter families of extreme discrete groups for Jørgensen’s inequality [ MR 1759686 ]

Scott A. Wolpert  Automorphic coefficient sums and the quantum ergodicity question [ MR 1759687 ]


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The papers in this collection were presented at the First AhlforsBers 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, 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.
Advanced graduate students and researchers working in the broad areas of Riemann surfaces, Teichmüller theory, hyperbolic geometry, and algebraic curves.

Articles

Ara Basmajian  Quasiconformal mappings and geodesics in the hyperbolic plane [ MR 1759665 ]

Lennart Carleson  Lars Ahlfors and the Painlevé problem [ MR 1759666 ]

Clifford J. Earle  The Ahlfors mollifiers [ MR 1759667 ]

C. J. Earle, F. P. Gardiner and N. Lakic  Asymptotic Teichmüller space. I. The complex structure [ MR 1759668 ]

Clifford J. Earle and Sudeb Mitra  Variation of moduli under holomorphic motions [ MR 1759669 ]

Adam Lawrence Epstein  Effectiveness of Teichmüller modular groups [ MR 1759670 ]

Hershel M. Farkas and Irwin Kra  Special sets of points on compact Riemann surfaces [ MR 1759671 ]

Hershel M. Farkas and Irwin Kra  Three term theta identities [ MR 1759672 ]

Daniel M. Gallo  Some remarks on the monodromy map [ MR 1759673 ]

Frederick P. Gardiner and Linda Keen  Coverings of Cantor sets [ MR 1759674 ]

Frederick P. Gardiner and Nikola Lakic  Local boundary dilatation [ MR 1759675 ]

F. W. Gehring and K. Hag  The Apollonian metric and quasiconformal mappings [ MR 1759676 ]

Jane Gilman  Complexity of a Turing machine discreteness algorithm [ MR 1759677 ]

Dennis A. Hejhal  Kernel functions, Poincaré series, and LVA [ MR 1759678 ]

J. Huisman  On components of spaces of ${\rm PSL}_2({\bf C})$representations of extended quasifuchsian groups [ MR 1759679 ]

Troels Jorgensen  Composition and length of hyperbolic motions [ MR 1759680 ]

Feng Luo  Automorphisms of Thurston’s space of measured laminations [ MR 1759681 ]

Bernard Maskit  On spaces of classical Schottky groups [ MR 1759682 ]

Howard A. Masur and Yair N. Minsky  Unstable quasigeodesics in Teichmüller space [ MR 1759683 ]

Katsuhiko Matsuzaki  Convergence of the Hausdorff dimension of the limit sets of Kleinian groups [ MR 1759684 ]

Robert Riley  Nielsen’s algorithm to decide whether a group is Fuchsian [ MR 1759685 ]

Hiroki Sato  Oneparameter families of extreme discrete groups for Jørgensen’s inequality [ MR 1759686 ]

Scott A. Wolpert  Automorphic coefficient sums and the quantum ergodicity question [ MR 1759687 ]