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Softcover ISBN:  9780821813713 
Product Code:  CONM/256 
List Price:  $130.00 
MAA Member Price:  $117.00 
AMS Member Price:  $104.00 
eBook ISBN:  9780821878460 
Product Code:  CONM/256.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
Softcover ISBN:  9780821813713 
eBook ISBN:  9780821878460 
Product Code:  CONM/256.B 
List Price:  $255.00 $192.50 
MAA Member Price:  $229.50 $173.25 
AMS Member Price:  $204.00 $154.00 

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 ]