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In the Tradition of Ahlfors–Bers, VII
 
Edited by: Ara S. Basmajian The Graduate Center, CUNY, New York, NY
Yair N. Minsky Yale University, New Haven, CT
Alan W. Reid University of Texas at Austin, Austin, TX
In the Tradition of Ahlfors--Bers, VII
Softcover ISBN:  978-1-4704-2651-4
Product Code:  CONM/696
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-1-4704-4198-2
Product Code:  CONM/696.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-1-4704-2651-4
eBook: ISBN:  978-1-4704-4198-2
Product Code:  CONM/696.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
In the Tradition of Ahlfors--Bers, VII
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In the Tradition of Ahlfors–Bers, VII
Edited by: Ara S. Basmajian The Graduate Center, CUNY, New York, NY
Yair N. Minsky Yale University, New Haven, CT
Alan W. Reid University of Texas at Austin, Austin, TX
Softcover ISBN:  978-1-4704-2651-4
Product Code:  CONM/696
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-1-4704-4198-2
Product Code:  CONM/696.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-1-4704-2651-4
eBook ISBN:  978-1-4704-4198-2
Product Code:  CONM/696.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 6962017; 250 pp
    MSC: Primary 20; 30; 31; 32; 51; 53; 57; 58; 60

    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. Today we see the influence of Ahlfors and Bers on algebraic geometry, mathematical physics, dynamics, probability, geometric group theory, number theory and topology. 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, Teichmüller theory, mapping class groups, geometric group theory, and statistical mechanics.

    Readership

    Graduate students and research mathematicians interested in Teichmüller theory, hyperbolic geometry, and geometric function theory.

  • Table of Contents
     
     
    • Articles
    • Stergios M. Antonakoudis — The complex geometry of Teichmüller spaces and bounded symmetric domains
    • Tarik Aougab and Samuel J. Taylor — Pseudo-Anosovs optimizing the ratio of Teichmüller to curve graph translation length
    • Mladen Bestvina and Koji Fujiwara — Handlebody subgroups in a mapping class group
    • Suhyoung Choi — The convex real projective orbifolds with radial or totally geodesic ends: A survey of some partial results
    • Jinhua Fan and Jun Hu — A gluing theorem and applications in subspaces of the universal Teichmüller space
    • Frederick P. Gardiner — Extremal length and uniformization
    • Jane Gilman and Linda Keen — Winding and unwinding and essential intersections in $\mathbb {H}^3$
    • Geoffrey R. Grimmett and Zhongyang Li — The 1-2 model
    • Subhojoy Gupta and Michael Wolf — Meromorphic quadratic differentials with complex residues and spiralling foliations
    • Peter Haïssinsky — Quasi-isometric rigidity of the class of convex-cocompact Kleinian groups
    • Yunping Jiang and Sudeb Mitra — Variation of moduli under continuous motions
    • Benjamin Linowitz and Jeffrey S. Meyer — Systolic surfaces of arithmetic hyperbolic 3-manifolds
    • Hideki Miyachi — Extremal length functions are log-plurisubharmonic
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 6962017; 250 pp
MSC: Primary 20; 30; 31; 32; 51; 53; 57; 58; 60

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. Today we see the influence of Ahlfors and Bers on algebraic geometry, mathematical physics, dynamics, probability, geometric group theory, number theory and topology. 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, Teichmüller theory, mapping class groups, geometric group theory, and statistical mechanics.

Readership

Graduate students and research mathematicians interested in Teichmüller theory, hyperbolic geometry, and geometric function theory.

  • Articles
  • Stergios M. Antonakoudis — The complex geometry of Teichmüller spaces and bounded symmetric domains
  • Tarik Aougab and Samuel J. Taylor — Pseudo-Anosovs optimizing the ratio of Teichmüller to curve graph translation length
  • Mladen Bestvina and Koji Fujiwara — Handlebody subgroups in a mapping class group
  • Suhyoung Choi — The convex real projective orbifolds with radial or totally geodesic ends: A survey of some partial results
  • Jinhua Fan and Jun Hu — A gluing theorem and applications in subspaces of the universal Teichmüller space
  • Frederick P. Gardiner — Extremal length and uniformization
  • Jane Gilman and Linda Keen — Winding and unwinding and essential intersections in $\mathbb {H}^3$
  • Geoffrey R. Grimmett and Zhongyang Li — The 1-2 model
  • Subhojoy Gupta and Michael Wolf — Meromorphic quadratic differentials with complex residues and spiralling foliations
  • Peter Haïssinsky — Quasi-isometric rigidity of the class of convex-cocompact Kleinian groups
  • Yunping Jiang and Sudeb Mitra — Variation of moduli under continuous motions
  • Benjamin Linowitz and Jeffrey S. Meyer — Systolic surfaces of arithmetic hyperbolic 3-manifolds
  • Hideki Miyachi — Extremal length functions are log-plurisubharmonic
Review Copy – for publishers of book reviews
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.