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Product Code:  CONM/510 
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Electronic ISBN:  9780821881897 
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Book DetailsContemporary MathematicsVolume: 510; 2010; 329 ppMSC: Primary 14; 20; 28; 30; 32; 54; 57;
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 hyperbolic geometry, Teichmüller theory, and discrete groups.

Table of Contents

Articles

James Belk and Sarah Koch  Iterated monodromy for a twodimensional map [ MR 2581826 ]

Joshua P. Bowman  Orientationreversing involutions of the genus 3 ArnouxYoccoz surface and related surfaces [ MR 2581827 ]

Emilio Bujalance and FranciscoJavier Cirre  A family of Riemann surfaces with orientation reversing automorphisms [ MR 2581828 ]

Luis ArenasCarmona and Anita M. Rojas  Unramified prime covers of hyperelliptic curves and pairs of $p$gonal curves [ MR 2581829 ]

Angel Carocca, Herbert Lange, Rubí E. Rodríguez and Anita M. Rojas  Prym and PrymTyurin varieties: a grouptheoretical construction [ MR 2581830 ]

Virginie Charette, Todd A. Drumm and William Goldman  Stretching threeholed spheres and the Margulis invariant [ MR 2581843 ]

Benson Farb and Howard Masur  Teichmüller geometry of moduli space. II. $\scr M(S)$ seen from far away [ MR 2581831 ]

David Gabai, Robert Meyerhoff and Peter Milley  Mom technology and hyperbolic 3manifolds [ MR 2581832 ]

Ursula Hamenstädt  Dynamical properties of the WeilPetersson metric [ MR 2581833 ]

John H. Hubbard and Robyn L. Miller  Equidistribution of horocyclic flows on complete hyperbolic surfaces of finite area [ MR 2581834 ]

Lizhen Ji and Scott A. Wolpert  A cofinite universal space for proper actions for mapping class groups [ MR 2581835 ]

Michael Kapovich  On sequences of finitely generated discrete groups [ MR 2581836 ]

Richard P. Kent, IV and Christopher J. Leininger  A fake Schottky group in ${\rm Mod}(S)$ [ MR 2581837 ]

D. D. Long and A. W. Reid  Eigenvalues of hyperbolic elements in Kleinian groups [ MR 2581838 ]

Vidur Malik  Primitive words and selfintersections of curves on surfaces generated by the GilmanMaskit discreteness algorithm [ MR 2581839 ]

Katsuhiko Matsuzaki  Symmetric groups that are not the symmetric conjugates of Fuchsian groups [ MR 2581840 ]

Ken’ichi Ohshika and Hideki Miyachi  Uniform models for the closure of the Riley slice [ MR 2581841 ]

Gabriele Mondello  Poisson structures on the Teichmüller space of hyperbolic surfaces with conical points [ MR 2581842 ]


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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 hyperbolic geometry, Teichmüller theory, and discrete groups.

Articles

James Belk and Sarah Koch  Iterated monodromy for a twodimensional map [ MR 2581826 ]

Joshua P. Bowman  Orientationreversing involutions of the genus 3 ArnouxYoccoz surface and related surfaces [ MR 2581827 ]

Emilio Bujalance and FranciscoJavier Cirre  A family of Riemann surfaces with orientation reversing automorphisms [ MR 2581828 ]

Luis ArenasCarmona and Anita M. Rojas  Unramified prime covers of hyperelliptic curves and pairs of $p$gonal curves [ MR 2581829 ]

Angel Carocca, Herbert Lange, Rubí E. Rodríguez and Anita M. Rojas  Prym and PrymTyurin varieties: a grouptheoretical construction [ MR 2581830 ]

Virginie Charette, Todd A. Drumm and William Goldman  Stretching threeholed spheres and the Margulis invariant [ MR 2581843 ]

Benson Farb and Howard Masur  Teichmüller geometry of moduli space. II. $\scr M(S)$ seen from far away [ MR 2581831 ]

David Gabai, Robert Meyerhoff and Peter Milley  Mom technology and hyperbolic 3manifolds [ MR 2581832 ]

Ursula Hamenstädt  Dynamical properties of the WeilPetersson metric [ MR 2581833 ]

John H. Hubbard and Robyn L. Miller  Equidistribution of horocyclic flows on complete hyperbolic surfaces of finite area [ MR 2581834 ]

Lizhen Ji and Scott A. Wolpert  A cofinite universal space for proper actions for mapping class groups [ MR 2581835 ]

Michael Kapovich  On sequences of finitely generated discrete groups [ MR 2581836 ]

Richard P. Kent, IV and Christopher J. Leininger  A fake Schottky group in ${\rm Mod}(S)$ [ MR 2581837 ]

D. D. Long and A. W. Reid  Eigenvalues of hyperbolic elements in Kleinian groups [ MR 2581838 ]

Vidur Malik  Primitive words and selfintersections of curves on surfaces generated by the GilmanMaskit discreteness algorithm [ MR 2581839 ]

Katsuhiko Matsuzaki  Symmetric groups that are not the symmetric conjugates of Fuchsian groups [ MR 2581840 ]

Ken’ichi Ohshika and Hideki Miyachi  Uniform models for the closure of the Riley slice [ MR 2581841 ]

Gabriele Mondello  Poisson structures on the Teichmüller space of hyperbolic surfaces with conical points [ MR 2581842 ]