Dynamical Aspects of Teichmüller Theory: SL(2,R)-Action on Moduli Spaces of Flat Surfaces

Author:   Carlos Matheus Silva Santos
Publisher:   Springer International Publishing AG
Edition:   1st ed. 2018
Volume:   7
ISBN:  

9783319921587


Pages:   122
Publication Date:   20 July 2018
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Dynamical Aspects of Teichmüller Theory: SL(2,R)-Action on Moduli Spaces of Flat Surfaces


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Overview

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 numbertheory.

Full Product Details

Author:   Carlos Matheus Silva Santos
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   1st ed. 2018
Volume:   7
Weight:   0.454kg
ISBN:  

9783319921587


ISBN 10:   3319921584
Pages:   122
Publication Date:   20 July 2018
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of 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.

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Author Information

Carlos Matheus Silva Santos is a Brazilian mathematician who is an expert in the field of dynamical systems. He currently works at the Centre national de la recherche scientifique (CNRS), while teaching at both École Polytechnique and Université Paris 13. Additionally, he has organized various conferences in Paris and Rio de Janiero on the topic of dynamical systems. 

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