國立虎尾科技大學 |

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

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Dynamical aspects of teichmüller theory/ by Carlos Matheus Silva Santos.
其他題名:	SL(2,R)-action on moduli spaces of flat surfaces /
作者:	Santos, Carlos Matheus Silva.
出版者:	Cham :Springer International Publishing : : 2018.,
面頁冊數:	xiv, 122 p. :digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Dynamics. -
電子資源:	http://dx.doi.org/10.1007/978-3-319-92159-4
ISBN:	9783319921594

Dynamical aspects of teichmüller theory = SL(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

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

592238
Dynamics.

LC Class. No.: QA845 / .S268 2018

Dewey Class. No.: 531.11

Dynamical aspects of teichmüller theory = SL(2,R)-action on moduli spaces of flat surfaces /
LDR:02389nam a2200325 a 4500 001 927981
003 DE-He213
005 20190130131202.0
006 m d
007 cr nn 008maaau
008 190626s2018 gw s 0 eng d
020 $a 9783319921594 $q (electronic bk.)
020 $a 9783319921587 $q (paper)
024 7 $a 10.1007/978-3-319-92159-4 $2 doi
035 $a 978-3-319-92159-4
040 $a GP $c GP
041 0 $a eng
050 4 $a QA845 $b .S268 2018
072 7 $a PBWR $2 bicssc
072 7 $a MAT034000 $2 bisacsh
082 0 4 $a 531.11 $2 23
090 $a QA845 $b .S237 2018
100 1 $a Santos, Carlos Matheus Silva. $3 1207669
245 1 0 $a Dynamical aspects of teichmüller theory $h [electronic resource] : $b SL(2,R)-action on moduli spaces of flat surfaces / $c by Carlos Matheus Silva Santos.
260 $a Cham : $c 2018. $b Springer International Publishing : $b Imprint: Springer,
300 $a xiv, 122 p. : $b digital ; $c 24 cm.
490 1 $a Atlantis studies in dynamical systems ; $v v.7
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.
650 0 $a Dynamics. $3 592238
650 0 $a Teichmuller spaces. $3 1024462
650 0 $a Geometry. $3 579899
650 0 $a Moduli theory. $3 681816
650 1 4 $a Mathematics. $3 527692
650 2 4 $a Dynamical Systems and Ergodic Theory. $3 671353
650 2 4 $a Algebraic Geometry. $3 670184
650 2 4 $a Topology. $3 633483
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a Atlantis studies in dynamical systems ; $v v.1. $3 883781
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-92159-4
950 $a Mathematics and Statistics (Springer-11649)