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The Resource Dynamical Aspects of Teichmüller Theory : SL(2,R)-Action on Moduli Spaces of Flat Surfaces, by Carlos Matheus Silva Santos, (electronic resource)

Dynamical Aspects of Teichmüller Theory : SL(2,R)-Action on Moduli Spaces of Flat Surfaces, by Carlos Matheus Silva Santos, (electronic resource)

Creator
Summary
This book is a remarkable contribution to the literature on dynamical systems and geometry. It consists of a selection of work in current research on Teichmüller dynamics, a field that has continued to develop rapidly in the past decades. After a comprehensive introduction, the author investigates the dynamics of the Teichmüller flow, presenting several self-contained chapters, each addressing a different aspect on the subject. The author includes innovative expositions, all the while solving open problems, constructing examples, and supplementing with illustrations. This book is a rare find in the field with its guidance and support for readers through the complex content of moduli spaces and Teichmüller Theory. The author is an internationally recognized expert in dynamical systems with a talent to explain topics that is rarely found in the field. He has created a text that would benefit specialists in, not only dynamical systems and geometry, but also Lie theory and number theory.--
Language
eng
Work
Publication
Extent
1 online resource (XIV, 122 pages)
Contents
  • Introduction
  • Proof of the Eskin-Kontsevich-Zorich Regularity Conjecture
  • Arithmetic Teichmüller Curves with Complementary Series
  • Some Finiteness Results for Algebraically Primitive Teichmüller Curves
  • Simplicity of Lyapunov Exponents of Arithmetic Teichmüller Curves
  • An Example of Quaternionic Kontsevich-Zorich Monodromy Group
Isbn
9783319921594
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-3-319-92159-4
Instance
Label
Dynamical Aspects of Teichmüller Theory : SL(2,R)-Action on Moduli Spaces of Flat Surfaces
Title
Dynamical Aspects of Teichmüller Theory
Title remainder
SL(2,R)-Action on Moduli Spaces of Flat Surfaces
Statement of responsibility
by Carlos Matheus Silva Santos
Creator
Subject
Language
eng
Summary
This book is a remarkable contribution to the literature on dynamical systems and geometry. It consists of a selection of work in current research on Teichmüller dynamics, a field that has continued to develop rapidly in the past decades. After a comprehensive introduction, the author investigates the dynamics of the Teichmüller flow, presenting several self-contained chapters, each addressing a different aspect on the subject. The author includes innovative expositions, all the while solving open problems, constructing examples, and supplementing with illustrations. This book is a rare find in the field with its guidance and support for readers through the complex content of moduli spaces and Teichmüller Theory. The author is an internationally recognized expert in dynamical systems with a talent to explain topics that is rarely found in the field. He has created a text that would benefit specialists in, not only dynamical systems and geometry, but also Lie theory and number theory.--
Member of
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
Matheus Silva Santos, Carlos
Dewey number
515.39
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
Series statement
  • 90 \0
  • Springer eBooks.
  • Springer eBooks
  • Atlantis Studies in Dynamical Systems
Series volume
7
http://library.link/vocab/subjectName
  • Mathematics
  • Algebraic geometry
  • Dynamics
  • Ergodic theory
  • Topology
Label
Dynamical Aspects of Teichmüller Theory : SL(2,R)-Action on Moduli Spaces of Flat Surfaces, by Carlos Matheus Silva Santos, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-3-319-92159-4
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- Proof of the Eskin-Kontsevich-Zorich Regularity Conjecture -- Arithmetic Teichmüller Curves with Complementary Series -- Some Finiteness Results for Algebraically Primitive Teichmüller Curves -- Simplicity of Lyapunov Exponents of Arithmetic Teichmüller Curves -- An Example of Quaternionic Kontsevich-Zorich Monodromy Group
Control code
978-3-319-92159-4
Dimensions
unknown
Extent
1 online resource (XIV, 122 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319921594
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-92159-4
Other physical details
28 illustrations
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1043948596
Label
Dynamical Aspects of Teichmüller Theory : SL(2,R)-Action on Moduli Spaces of Flat Surfaces, by Carlos Matheus Silva Santos, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-3-319-92159-4
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction -- Proof of the Eskin-Kontsevich-Zorich Regularity Conjecture -- Arithmetic Teichmüller Curves with Complementary Series -- Some Finiteness Results for Algebraically Primitive Teichmüller Curves -- Simplicity of Lyapunov Exponents of Arithmetic Teichmüller Curves -- An Example of Quaternionic Kontsevich-Zorich Monodromy Group
Control code
978-3-319-92159-4
Dimensions
unknown
Extent
1 online resource (XIV, 122 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319921594
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-92159-4
Other physical details
28 illustrations
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1043948596

Subject

Member of

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