In the tradition of Ahlfors and Bers : proceedings of the First Ahlfors-Bers Colloquium, Ahlfors-Bers Colloquium, November 6-8, 1998, State University of New York at Stony Brook / Irwin Kra, Bernard Maskit, editors.

Format:

Book

Conference/Event

Author/Creator:

Ahlfors-Bers Colloquium, Corporate Author.

Contributor:

Kra, Irwin, editor.

Maskit, Bernard, editor.

Conference Name:

Ahlfors-Bers Colloquium (1st : 1998 : State University of New York at Stony Brook), issuing body.

Series:

Contemporary mathematics (American Mathematical Society) ; 256.

Contemporary mathematics, 0271-4132 ; 256

Language:

English

Subjects (All):

Functions--Congresses.

Functions.

Riemann surfaces--Congresses.

Riemann surfaces.

Mappings (Mathematics)--Congresses.

Mappings (Mathematics).

Physical Description:

1 online resource (306 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2000]

Language Note:

English

Summary:

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 honour and carry on the work of Ahlfors and Bers, whose fundamental works in the field of complex analysis 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.

Contents:

Intro

Contents

Preface

Quasiconformal mappings and geodesics in the hyperbolic plane

Lars Ahlfors and the Painlevé problem

The Ahlfors mollifiers

Asymptotic Teichmüller space, Part I: The complex structure

Variation of moduli under holomorphic motions

Effectiveness of Teichmüller modular groups

Special sets of points on compact Riemann surfaces

Three term theta identities

Some remarks on the monodromy map

Coverings of Cantor sets

Local boundary dilatation

The Apollonian metric and quasiconformal mappings

Complexity of a Turing machine discreteness algorithm

Kernel functions, Poincaré series, and LVA

On components of spaces of PSL2(C)-representations of extended quasifuchsian groups

Composition and length of hyperbolic motions

Automorphisms of Thurston's space of measured laminations

On spaces of classical Schottky groups

Unstable quasi-geodesics in Teichmüller space

Convergence of the Hausdorff dimension of the limit sets of Kleinian groups

Nielsen's algorithm to decide whether a group is Fuchsian

One-parameter families of extreme discrete groups for Jørgensen's inequality

Automorphic coefficient sums and the quantum ergodicity question.

Notes:

Description based upon print version of record.

Includes bibliographical references.

Description based on print version record.

ISBN:

0-8218-7846-8