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In the Tradition of Ahlfors–Bers, VII. (Record no. 130522)

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000 -LEADER
fixed length control field 07324nam a22005053i 4500
001 - CONTROL NUMBER
control field EBC5047879
003 - CONTROL NUMBER IDENTIFIER
control field MiAaPQ
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240729131455.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS
fixed length control field m o d |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr cnu||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 240724s2017 xx o ||||0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781470441982
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9781470426514
035 ## - SYSTEM CONTROL NUMBER
System control number (MiAaPQ)EBC5047879
035 ## - SYSTEM CONTROL NUMBER
System control number (Au-PeEL)EBL5047879
035 ## - SYSTEM CONTROL NUMBER
System control number (CaPaEBR)ebr11442978
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)1004620476
040 ## - CATALOGING SOURCE
Original cataloging agency MiAaPQ
Language of cataloging eng
Description conventions rda
-- pn
Transcribing agency MiAaPQ
Modifying agency MiAaPQ
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA331.A354 2017
082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 510
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Basmajian, Ara S.
245 10 - TITLE STATEMENT
Title In the Tradition of Ahlfors–Bers, VII.
250 ## - EDITION STATEMENT
Edition statement 1st ed.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Providence :
Name of producer, publisher, distributor, manufacturer American Mathematical Society,
Date of production, publication, distribution, manufacture, or copyright notice 2017.
264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Date of production, publication, distribution, manufacture, or copyright notice ©2017.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (264 pages)
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term online resource
Carrier type code cr
Source rdacarrier
490 1# - SERIES STATEMENT
Series statement Contemporary Mathematics ;
Volume/sequential designation v.696
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Cover -- Title page -- Contents -- Preface -- List of Plenary Lectures -- The complex geometry of Teichmüller spaces and bounded symmetric domains -- 1. Introduction -- 2. The setting -- 3. The Kobayashi metric -- 4. Main results -- 5. Preliminaries in Teichmüller theory -- 6. Holomorphic rigidity -- 7. Extremal length geometry -- 8. Final remarks -- References -- Pseudo-Anosovs optimizing the ratio of Teichmüller to curve graph translation length -- 1. Introduction -- 2. Background -- 3. Ratio optimizers via QI trees -- 4. Counting ratio optimizers in a Teichmüller Disk -- 5. Ratio optimizers in the Johnson filtration and point pushing subgroups -- References -- Handlebody subgroups in a mapping class group -- 1. Introduction -- 2. Preliminaries -- 3. Coarse fixed sets and free products -- 4. Example on a tree -- 5. Example on \C( ) and proof of theorem -- 6. Prime pseudo-Anosov elements -- 7. Invariable generation -- References -- The convex real projective orbifolds with radial or totally geodesic ends: A survey of some partial results -- 1. Introduction -- 1.1. Preliminary -- 1.2. Main results -- 1.3. Remarks -- 1.4. Outline -- 1.5. Acknowledgement -- 2. Preliminary -- 2.1. Basic definitions -- 2.1.1. Topological notation -- 2.1.2. The Hausdorff metric -- 2.1.3. Real projective structures -- 2.1.4. End structures -- 2.1.5. Horospherical ends -- 2.1.6. Deformation spaces and the space of holonomy homomorphisms -- 2.1.7. The end restrictions -- 2.1.8. Character spaces of relevance -- 2.2. Oriented real projective structures -- 2.3. The local homeomorphism theorems -- 3. Convex real projective structures -- 3.1. Metrics -- 3.2. Convexity and convex domains -- 3.3. The duality -- 4. The end theory -- 4.1. p-ends, p-end neighborhoods, and p-end fundamental groups -- 4.2. The admissible groups -- 4.3. The admissible ends.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 5. The relative hyperbolicity of ₁(\orb) and the strict convexity -- 5.1. SPC-structures and its properties -- 5.2. Bowditch's method -- 5.3. Converse -- 5.4. Strict SPC-structures deform to strict SPC-structures. -- 6. The openness and closedness in character varieties -- 6.1. The semi-algebraic properties of \rep^{ }( ₁( ),\PGL( +1,\bR)) and related spaces -- 6.1.1. Main theorems -- 6.2. Openness -- 6.3. The closedness of convex real projective structures -- 6.4. Nicest cases -- References -- A gluing theorem and applications in subspaces of the universal Teichmüller space -- 1. Introduction -- 2. Proof of the gluing theorem -- 3. Proofs of Theorems 2 and 3 -- References -- Extremal length and uniformization -- Introduction -- 1. Riemann surfaces, weak measured foliations and the Dirichlet integral -- 2. Conformal metrics and conjugate differentials -- 3. Pulling back a weak measured foliaton -- 4. Intersection number and the Cauchy-Schwarz inequality -- 5. Extremal length of annuli -- 6. Moduli of curve families on a Riemann surface -- 7. Strebel's variational technique -- 8. Uniformization -- 9. Weyl's lemma -- 10. The long ray, the long line and the long cylinder -- References -- Winding and unwinding and essential intersections in ℍ³ -- 1. Introduction -- 2. Background and Terminology -- 3. \HH²: The Model Group -- 4. \HH³: Generalized ESI's -- 5. Winding Groups -- References -- The 1-2 model -- 1. Origin of the \ot model -- 2. Definition of the \ot model -- 3. The dimer, Ising, and polygon models -- 4. Phase transition -- Acknowledgements -- References -- Meromorphic quadratic differentials with complex residues and spiralling foliations -- 1. Introduction -- 2. Preliminaries -- 3. Measured foliations with centers -- 4. Model maps and cylinder ends -- 5. Proof of Theorem 1.2 -- References.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note Quasi-isometric rigidity of the class of convex-cocompact Kleinian groups -- 1. Introduction -- 2. Hyperbolizable 3-manifolds -- 3. Hyperbolicity -- 4. Canonical splittings -- 5. Strong accessibility -- 6. Quasi-isometric rigidity -- 7. Examples -- References -- Variation of moduli under continuous motions -- 1. Statements of the results -- 2. Background material -- 3. The proofs -- References -- Systolic surfaces of arithmetic hyperbolic 3-manifolds -- 1. Introduction -- 2. Notation -- 3. Arithmetic Fuchsian and Kleinian groups and their covolumes -- 4. Proof of Theorem A -- 5. Proof of Theorem B -- 6. Proof of Theorem C -- References -- Extremal length functions are log-plurisubharmonic -- 1. Introduction -- 2. Notation -- 3. Coordinates via representations of the odd cohomology -- 4. Families of quadratic differentials with prescribed vertical foliation -- 5. Levi forms and Plurisubharmonicity of Extremal length functions -- 6. Geometric interpretation of realizations of tangent vectors -- 7. Appendix -- References -- Back Cover.
520 ## - SUMMARY, ETC.
Summary, etc. 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.
588 ## - SOURCE OF DESCRIPTION NOTE
Source of description note Description based on publisher supplied metadata and other sources.
590 ## - LOCAL NOTE (RLIN)
Local note Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Functions--Congresses.
655 #4 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Minsky, Yair N.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Reid, Alan W.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Print version:
Main entry heading Basmajian, Ara S.
Title In the Tradition of Ahlfors–Bers, VII
Place, publisher, and date of publication Providence : American Mathematical Society,c2017
International Standard Book Number 9781470426514
797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN)
Corporate name or jurisdiction name as entry element ProQuest (Firm)
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Contemporary Mathematics
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=5047879">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=5047879</a>
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