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Dynamical aspects of teichmüller the...

Santos, Carlos Matheus Silva.

Dynamical aspects of teichmüller theorySL(2,R)-action on moduli spaces of flat surfaces /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Dynamical aspects of teichmüller theoryby Carlos Matheus Silva Santos.
Reminder of title:	SL(2,R)-action on moduli spaces of flat surfaces /
Author:	Santos, Carlos Matheus Silva.
Published:	Cham :Springer International Publishing :2018.
Description:	xiv, 122 p. :digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Dynamics.
Online resource:	http://dx.doi.org/10.1007/978-3-319-92159-4
ISBN:	9783319921594$q(electronic bk.)

Dynamical aspects of teichmüller theorySL(2,R)-action on moduli spaces of flat surfaces /
Santos, Carlos Matheus Silva.

Dynamical aspects of teichmüller theorySL(2,R)-action on moduli spaces of flat surfaces /[electronic resource] :by Carlos Matheus Silva Santos. - Cham :Springer International Publishing :2018. - xiv, 122 p. :digital ;24 cm. - Atlantis studies in dynamical systems ;v.7. - Atlantis studies in dynamical systems ;v.1..

Introduction -- Proof of the Eskin-Kontsevich-Zorich Regularity Conjecture -- Arithmetic Teichmuller Curves with Complementary Series -- Some Finiteness Results for Algebraically Primitive Teichmuller Curves -- Simplicity of Lyapunov Exponents of Arithmetic Teichmuller Curves -- An Example of Quaternionic Kontsevich-Zorich Monodromy Group.

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 Teichmuller dynamics, a field that has continued to develop rapidly in the past decades. After a comprehensive introduction, the author investigates the dynamics of the Teichmuller 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 Teichmuller 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.

ISBN: 9783319921594$q(electronic bk.)

Standard No.: 10.1007/978-3-319-92159-4doiSubjects--Topical Terms:

189568
Dynamics.

LC Class. No.: QA845 / .S268 2018

Dewey Class. No.: 531.11

Dynamical aspects of teichmüller theorySL(2,R)-action on moduli spaces of flat surfaces /
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505 0 $a Introduction -- Proof of the Eskin-Kontsevich-Zorich Regularity Conjecture -- Arithmetic Teichmuller Curves with Complementary Series -- Some Finiteness Results for Algebraically Primitive Teichmuller Curves -- Simplicity of Lyapunov Exponents of Arithmetic Teichmuller Curves -- An Example of Quaternionic Kontsevich-Zorich Monodromy Group.
520 $a 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 Teichmuller dynamics, a field that has continued to develop rapidly in the past decades. After a comprehensive introduction, the author investigates the dynamics of the Teichmuller 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 Teichmuller 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.
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