Dynamical Aspects of Teichmüller Theory - Carlos Matheus Silva Santos

Dynamical Aspects of Teichmüller Theory

SL(2,R)-Action on Moduli Spaces of Flat Surfaces
Buch | Softcover
XIV, 122 Seiten
2018 | 1st ed. 2018
Springer International Publishing (Verlag)
978-3-319-92158-7 (ISBN)
74,89 inkl. MwSt

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.


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. 

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.

Erscheinungsdatum
Reihe/Serie Atlantis Studies in Dynamical Systems
Zusatzinfo XIV, 122 p. 28 illus.
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Gewicht 219 g
Themenwelt Mathematik / Informatik Informatik Theorie / Studium
Mathematik / Informatik Mathematik Angewandte Mathematik
Mathematik / Informatik Mathematik Geometrie / Topologie
Schlagworte dynamical systems and geometry • Eskin-Kontsevich-Zorich regularity conjecture • flat surfaces • moduli spaces • Teichmüller dynamics
ISBN-10 3-319-92158-4 / 3319921584
ISBN-13 978-3-319-92158-7 / 9783319921587
Zustand Neuware
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