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In the Tradition of Ahlfors-Bers, VI

Edited by: Ursula Hamenstädt University of Bonn, Bonn, Germany
Alan W. Reid University of Texas at Austin, Austin, TX
Rubí Rodríguez Pontificia University Catholic of Chile, Santiago, Chile
Steffen Rohde University of Washington, Seattle, WA
Michael Wolf Rice University, Houston, TX
Available Formats:
Electronic ISBN: 978-1-4704-0941-8
Product Code: CONM/590.E
List Price: $76.00 MAA Member Price:$68.40
AMS Member Price: $60.80 Click above image for expanded view In the Tradition of Ahlfors-Bers, VI Edited by: Ursula Hamenstädt University of Bonn, Bonn, Germany Alan W. Reid University of Texas at Austin, Austin, TX Rubí Rodríguez Pontificia University Catholic of Chile, Santiago, Chile Steffen Rohde University of Washington, Seattle, WA Michael Wolf Rice University, Houston, TX Available Formats:  Electronic ISBN: 978-1-4704-0941-8 Product Code: CONM/590.E  List Price:$76.00 MAA Member Price: $68.40 AMS Member Price:$60.80
• Book Details

Contemporary Mathematics
Volume: 5902013; 189 pp
MSC: 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.

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 non-complete 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 Two-Sided 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 Denjoy-Wolff 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 even-dimensional Coxeter polyhedra
• Pietro Poggi-Corradini - Some remarks about analytic functions defined on an annulus
• Hiroshige Shiga - On injectivity radius in configuration space and in moduli space

• Requests

Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Volume: 5902013; 189 pp
MSC: 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.

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 non-complete 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 Two-Sided 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 Denjoy-Wolff 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 even-dimensional Coxeter polyhedra
• Pietro Poggi-Corradini - Some remarks about analytic functions defined on an annulus
• Hiroshige Shiga - On injectivity radius in configuration space and in moduli space
Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.