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| Softcover ISBN: | 978-0-8218-4732-9 |
| Product Code: | CONM/510 |
| List Price: | $130.00 |
| MAA Member Price: | $117.00 |
| AMS Member Price: | $104.00 |
| eBook ISBN: | 978-0-8218-8189-7 |
| Product Code: | CONM/510.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| Softcover ISBN: | 978-0-8218-4732-9 |
| eBook ISBN: | 978-0-8218-8189-7 |
| Product Code: | CONM/510.B |
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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.
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Table of Contents
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Articles
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James Belk and Sarah Koch — Iterated monodromy for a two-dimensional map [ MR 2581826 ]
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Joshua P. Bowman — Orientation-reversing involutions of the genus 3 Arnoux-Yoccoz surface and related surfaces [ MR 2581827 ]
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Emilio Bujalance and Francisco-Javier Cirre — A family of Riemann surfaces with orientation reversing automorphisms [ MR 2581828 ]
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Luis Arenas-Carmona and Anita M. Rojas — Unramified prime covers of hyperelliptic curves and pairs of $p$-gonal curves [ MR 2581829 ]
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Angel Carocca, Herbert Lange, Rubí E. Rodríguez and Anita M. Rojas — Prym and Prym-Tyurin varieties: a group-theoretical construction [ MR 2581830 ]
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Virginie Charette, Todd A. Drumm and William Goldman — Stretching three-holed spheres and the Margulis invariant [ MR 2581843 ]
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Benson Farb and Howard Masur — Teichmüller geometry of moduli space. II. $\scr M(S)$ seen from far away [ MR 2581831 ]
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David Gabai, Robert Meyerhoff and Peter Milley — Mom technology and hyperbolic 3-manifolds [ MR 2581832 ]
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Ursula Hamenstädt — Dynamical properties of the Weil-Petersson metric [ MR 2581833 ]
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John H. Hubbard and Robyn L. Miller — Equidistribution of horocyclic flows on complete hyperbolic surfaces of finite area [ MR 2581834 ]
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Lizhen Ji and Scott A. Wolpert — A cofinite universal space for proper actions for mapping class groups [ MR 2581835 ]
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Michael Kapovich — On sequences of finitely generated discrete groups [ MR 2581836 ]
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Richard P. Kent, IV and Christopher J. Leininger — A fake Schottky group in ${\rm Mod}(S)$ [ MR 2581837 ]
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D. D. Long and A. W. Reid — Eigenvalues of hyperbolic elements in Kleinian groups [ MR 2581838 ]
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Vidur Malik — Primitive words and self-intersections of curves on surfaces generated by the Gilman-Maskit discreteness algorithm [ MR 2581839 ]
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Katsuhiko Matsuzaki — Symmetric groups that are not the symmetric conjugates of Fuchsian groups [ MR 2581840 ]
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Ken’ichi Ohshika and Hideki Miyachi — Uniform models for the closure of the Riley slice [ MR 2581841 ]
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Gabriele Mondello — Poisson structures on the Teichmüller space of hyperbolic surfaces with conical points [ MR 2581842 ]
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Additional Material
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
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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 two-dimensional map [ MR 2581826 ]
-
Joshua P. Bowman — Orientation-reversing involutions of the genus 3 Arnoux-Yoccoz surface and related surfaces [ MR 2581827 ]
-
Emilio Bujalance and Francisco-Javier Cirre — A family of Riemann surfaces with orientation reversing automorphisms [ MR 2581828 ]
-
Luis Arenas-Carmona 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 Prym-Tyurin varieties: a group-theoretical construction [ MR 2581830 ]
-
Virginie Charette, Todd A. Drumm and William Goldman — Stretching three-holed 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 3-manifolds [ MR 2581832 ]
-
Ursula Hamenstädt — Dynamical properties of the Weil-Petersson 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 self-intersections of curves on surfaces generated by the Gilman-Maskit 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 ]
