Electronic ISBN:  9781470409418 
Product Code:  CONM/590.E 
List Price:  $76.00 
MAA Member Price:  $68.40 
AMS Member Price:  $60.80 

Book DetailsContemporary MathematicsVolume: 590; 2013; 189 ppMSC: Primary 20; 30; 31; 32; 33; 42; 51; 53; 57; 58;
The Ahlfors–Bers Colloquia commemorate the mathematical legacy of Lars Ahlfors and Lipman Bers. The core of this legacy lies in the fields of geometric function theory, Teichmüller theory, hyperbolic geometry, and partial differential equations. However, the work of Ahlfors and Bers has impacted and created interactions with many other fields of mathematics, such as algebraic geometry, dynamical systems, topology, geometric group theory, mathematical physics, and number theory. Recent years have seen a flowering of this legacy with an increased interest in their work.
This current volume contains articles on a wide variety of subjects that are central to this legacy. These include papers in Kleinian groups, classical Riemann surface theory, translation surfaces, algebraic geometry and dynamics. The majority of the papers present new research, but there are survey articles as well.ReadershipGraduate students and research mathematicians interested in a variety of subjects related to geometric function theory.

Table of Contents

Articles

Spencer Dowdall, Moon Duchin and Howard Masur  Spheres in the curve complex

Carlos Florentino and Sean Lawton  Character Varieties and Moduli of Quiver Representations

Ege Fujikawa  Periodicity of asymptotic Teichmüller modular transformation

Zair Ibragimov  Hyperbolization of locally compact noncomplete metric spaces

Anton Isopoussu, Kirsi Peltonen and Jeremy T. Tyson  Quasiregular maps and the conductivity equation in the Heisenberg group

Chris Judge  Pushing points on pillowcase covers

Thomas Koberda  Entropy of automorphisms, homology and the intrinsic polynomial structure of nilpotent groups

Gregory F. Lawler  Continuity of Radial and TwoSided Radial $SLE$ at the Terminal Point

Katsuhiko Matsuzaki and Yasuhiro Yabuki  No proper conjugation for quasiconvex cocompact groups of Gromov hyperbolic spaces

Hideki Miyachi  A differential formula for Extremal length

Olena Ostapyuk  On convergence to the DenjoyWolff point in the parabolic case

Susovan Pal  Construction of a Closed Hyperbolic Surface of Arbitrarily Small Eigenvalue of Prescribed Serial Number

Julien Paupert  A simple method to compute volumes of evendimensional Coxeter polyhedra

Pietro PoggiCorradini  Some remarks about analytic functions defined on an annulus

Hiroshige Shiga  On injectivity radius in configuration space and in moduli space


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The Ahlfors–Bers Colloquia commemorate the mathematical legacy of Lars Ahlfors and Lipman Bers. The core of this legacy lies in the fields of geometric function theory, Teichmüller theory, hyperbolic geometry, and partial differential equations. However, the work of Ahlfors and Bers has impacted and created interactions with many other fields of mathematics, such as algebraic geometry, dynamical systems, topology, geometric group theory, mathematical physics, and number theory. Recent years have seen a flowering of this legacy with an increased interest in their work.
This current volume contains articles on a wide variety of subjects that are central to this legacy. These include papers in Kleinian groups, classical Riemann surface theory, translation surfaces, algebraic geometry and dynamics. The majority of the papers present new research, but there are survey articles as well.
Graduate students and research mathematicians interested in a variety of subjects related to geometric function theory.

Articles

Spencer Dowdall, Moon Duchin and Howard Masur  Spheres in the curve complex

Carlos Florentino and Sean Lawton  Character Varieties and Moduli of Quiver Representations

Ege Fujikawa  Periodicity of asymptotic Teichmüller modular transformation

Zair Ibragimov  Hyperbolization of locally compact noncomplete metric spaces

Anton Isopoussu, Kirsi Peltonen and Jeremy T. Tyson  Quasiregular maps and the conductivity equation in the Heisenberg group

Chris Judge  Pushing points on pillowcase covers

Thomas Koberda  Entropy of automorphisms, homology and the intrinsic polynomial structure of nilpotent groups

Gregory F. Lawler  Continuity of Radial and TwoSided Radial $SLE$ at the Terminal Point

Katsuhiko Matsuzaki and Yasuhiro Yabuki  No proper conjugation for quasiconvex cocompact groups of Gromov hyperbolic spaces

Hideki Miyachi  A differential formula for Extremal length

Olena Ostapyuk  On convergence to the DenjoyWolff point in the parabolic case

Susovan Pal  Construction of a Closed Hyperbolic Surface of Arbitrarily Small Eigenvalue of Prescribed Serial Number

Julien Paupert  A simple method to compute volumes of evendimensional Coxeter polyhedra

Pietro PoggiCorradini  Some remarks about analytic functions defined on an annulus

Hiroshige Shiga  On injectivity radius in configuration space and in moduli space