**Contemporary Mathematics**

Volume: 510;
2010;
329 pp;
Softcover

MSC: Primary 14; 20; 28; 30; 32; 54; 57;

Print ISBN: 978-0-8218-4732-9

Product Code: CONM/510

List Price: $104.00

AMS Member Price: $83.20

MAA Member Price: $93.60

**Electronic ISBN: 978-0-8218-8189-7
Product Code: CONM/510.E**

List Price: $104.00

AMS Member Price: $83.20

MAA Member Price: $93.60

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# In the Tradition of Ahlfors–Bers, V

Share this page *Edited by *
*Mario Bonk; Jane Gilman; Howard Masur; Yair Minsky; Michael Wolf*

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.

#### Readership

Graduate students and research mathematicians interested in hyperbolic geometry, Teichmüller theory, and discrete groups.

# Table of Contents

## In the Tradition of Ahlfors-Bers, V

- Contents vii8 free
- Preface ix10 free
- Plenary Talks xi12 free
- Iterated monodromy for a two-dimensional map 114 free
- Orientation-reversing involutions of the genus 3 Arnoux-Yoccoz surface and related surfaces 1326
- A family of Riemann surfaces with orientation reversing automorphisms 2538
- Unramified prime covers of hyperelliptic curves and pairs of p–gonal curves 3548
- Prym and Prym-Tyurin varieties: A group-theoretical construction 4962
- Stretching three-holed spheres and the Margulis invariant 6174
- Teichmüller geometry of moduli space, II: M(S) seen from far away 7184
- Mom technology and hyperbolic 3-manifolds 8194
- Dynamical properties of the Weil-Petersson metric 109122
- Equidistribution of horocyclic flows on complete hyperbolic surfaces of finite area 129142
- A cofinite universal space for proper actions for mapping class groups 151164
- On sequences of finitely generated discrete groups 165178
- A fake Schottky group in Mod(S) 185198
- Eigenvalues of hyperbolic elements in Kleinian groups 197210
- Primitive words and self-intersections of curves on surfaces generated by the Gilman-Maskit discreteness algorithm 209222
- Symmetric groups that are not the symmetric conjugates of Fuchsian groups 239252
- Uniform models for the closure of the Riley slice 249262
- Poisson structures on the Teichmüller space of hyperbolic surfaces with conical points 307320