Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
In the Tradition of Ahlfors-Bers, IV
 
Edited by: Dick Canary University of Michigan, Ann Arbor, MI
Jane Gilman Yale University, New Haven, CT
Juha Heinonen University of Michigan, Ann Arbor, MI
Howard Masur University of Illinois at Chicago, Chicago, IL
In the Tradition of Ahlfors-Bers, IV
eBook ISBN:  978-0-8218-8111-8
Product Code:  CONM/432.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
In the Tradition of Ahlfors-Bers, IV
Click above image for expanded view
In the Tradition of Ahlfors-Bers, IV
Edited by: Dick Canary University of Michigan, Ann Arbor, MI
Jane Gilman Yale University, New Haven, CT
Juha Heinonen University of Michigan, Ann Arbor, MI
Howard Masur University of Illinois at Chicago, Chicago, IL
eBook ISBN:  978-0-8218-8111-8
Product Code:  CONM/432.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 4322007; 229 pp
    MSC: 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 manifolds, and partial differential equations. However, the work of Ahlfors and Bers has impacted and created interactions with many other fields, such as algebraic geometry, mathematical physics, dynamics, geometric group theory, number theory, and topology. The triannual Ahlford–Bers colloquia serve as a venue to disseminate the relevant work to the wider mathematical community and bring the key participants together to ponder future directions in the field.

    The present volume includes a wide range of articles in the fields central to this legacy. The majority of articles present new results, but there are expository articles as well.

    Readership

    Graduate students and research mathematicians interested in geometric function theory.

  • Table of Contents
     
     
    • Articles
    • J. W. Anderson, J. Aramayona and K. J. Shackleton — Uniformly exponential growth and mapping class groups of surfaces [ MR 2342801 ]
    • Christopher J. Bishop — An $A_1$ weight not comparable with any quasiconformal Jacobian [ MR 2342802 ]
    • Moon Duchin — Curvature, stretchiness, and dynamics [ MR 2342803 ]
    • Clifford J. Earle — Some special loci in the Siegel space of genus two [ MR 2342804 ]
    • Ege Fujikawa — Another approach to the automorphism theorem for Teichmüller spaces [ MR 2342805 ]
    • William M. Goldman and Richard A. Wentworth — Energy of twisted harmonic maps of Riemann surfaces [ MR 2342806 ]
    • Peter Hästö, Zair Ibragimov, David Minda, Saminathan Ponnusamy and Swadesh Sahoo — Isometries of some hyperbolic-type path metrics, and the hyperbolic medial axis [ MR 2342807 ]
    • Jun Hu — From left earthquakes to right [ MR 2342808 ]
    • Christopher M. Judge — Small eigenvalues and maximal laminations on complete surfaces of negative curvature [ MR 2342809 ]
    • Linda Keen and Nikola Lakic — A generalized hyperbolic metric for plane domains [ MR 2342810 ]
    • Richard P. Kent, IV and Christopher J. Leininger — Subgroups of mapping class groups from the geometrical viewpoint [ MR 2342811 ]
    • Young-Heon Kim — Determinants of Laplacians, quasifuchsian spaces, and holomorphic extensions of Laplacians [ MR 2342812 ]
    • Leonid V. Kovalev and Jeremy T. Tyson — Hyperbolic and quasisymmetric structure of hyperspaces [ MR 2342813 ]
    • Katsuhiko Matsuzaki — A classification of the modular transformations of infinite dimensional Teichmüller spaces [ MR 2342814 ]
    • Maryam Mirzakhani — Random hyperbolic surfaces and measured laminations [ MR 2342816 ]
    • Sudeb Mitra — Extensions of holomorphic motions to quasiconformal motions [ MR 2342817 ]
    • Raanan Schul — Analyst’s traveling salesman theorems. A survey [ MR 2342818 ]
    • Richard A. Wentworth — Energy of harmonic maps and Gardiner’s formula [ MR 2342819 ]
  • 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: 4322007; 229 pp
MSC: 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 manifolds, and partial differential equations. However, the work of Ahlfors and Bers has impacted and created interactions with many other fields, such as algebraic geometry, mathematical physics, dynamics, geometric group theory, number theory, and topology. The triannual Ahlford–Bers colloquia serve as a venue to disseminate the relevant work to the wider mathematical community and bring the key participants together to ponder future directions in the field.

The present volume includes a wide range of articles in the fields central to this legacy. The majority of articles present new results, but there are expository articles as well.

Readership

Graduate students and research mathematicians interested in geometric function theory.

  • Articles
  • J. W. Anderson, J. Aramayona and K. J. Shackleton — Uniformly exponential growth and mapping class groups of surfaces [ MR 2342801 ]
  • Christopher J. Bishop — An $A_1$ weight not comparable with any quasiconformal Jacobian [ MR 2342802 ]
  • Moon Duchin — Curvature, stretchiness, and dynamics [ MR 2342803 ]
  • Clifford J. Earle — Some special loci in the Siegel space of genus two [ MR 2342804 ]
  • Ege Fujikawa — Another approach to the automorphism theorem for Teichmüller spaces [ MR 2342805 ]
  • William M. Goldman and Richard A. Wentworth — Energy of twisted harmonic maps of Riemann surfaces [ MR 2342806 ]
  • Peter Hästö, Zair Ibragimov, David Minda, Saminathan Ponnusamy and Swadesh Sahoo — Isometries of some hyperbolic-type path metrics, and the hyperbolic medial axis [ MR 2342807 ]
  • Jun Hu — From left earthquakes to right [ MR 2342808 ]
  • Christopher M. Judge — Small eigenvalues and maximal laminations on complete surfaces of negative curvature [ MR 2342809 ]
  • Linda Keen and Nikola Lakic — A generalized hyperbolic metric for plane domains [ MR 2342810 ]
  • Richard P. Kent, IV and Christopher J. Leininger — Subgroups of mapping class groups from the geometrical viewpoint [ MR 2342811 ]
  • Young-Heon Kim — Determinants of Laplacians, quasifuchsian spaces, and holomorphic extensions of Laplacians [ MR 2342812 ]
  • Leonid V. Kovalev and Jeremy T. Tyson — Hyperbolic and quasisymmetric structure of hyperspaces [ MR 2342813 ]
  • Katsuhiko Matsuzaki — A classification of the modular transformations of infinite dimensional Teichmüller spaces [ MR 2342814 ]
  • Maryam Mirzakhani — Random hyperbolic surfaces and measured laminations [ MR 2342816 ]
  • Sudeb Mitra — Extensions of holomorphic motions to quasiconformal motions [ MR 2342817 ]
  • Raanan Schul — Analyst’s traveling salesman theorems. A survey [ MR 2342818 ]
  • Richard A. Wentworth — Energy of harmonic maps and Gardiner’s formula [ MR 2342819 ]
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.