LEADER 03426nam  22005775  450 
001 9910300139003321
005 20210519082841.0
010   $a3-319-92159-2
024 7 $a10.1007/978-3-319-92159-4
035   $a(CKB)4100000005248194
035   $a(DE-He213)978-3-319-92159-4
035   $a(MiAaPQ)EBC5451288
035   $a(PPN)229503888
035   $a(EXLCZ)994100000005248194
100   $a20180709d2018      u|         0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aDynamical Aspects of Teichmüller Theory $eSL(2,R)-Action on Moduli Spaces of Flat Surfaces /$fby Carlos Matheus Silva Santos
205   $a1st ed. 2018.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018.
215   $a1 online resource (XIV, 122 p. 28 illus.)
225 1 $aAtlantis Studies in Dynamical Systems ;$v7
311   $a3-319-92158-4 
320   $aIncludes bibliographical references and index.
327   $aIntroduction -- 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.
330   $aThis book is a remarkable contribution to the literature on dynamical systems and geometry. It consists of a selection of work in current research on Teichmüller dynamics, a field that has continued to develop rapidly in the past decades. After a comprehensive introduction, the author investigates the dynamics of the Teichmüller flow, presenting several self-contained chapters, each addressing a different aspect on the subject. The author includes innovative expositions, all the while solving open problems, constructing examples, and supplementing with illustrations. This book is a rare find in the field with its guidance and support for readers through the complex content of moduli spaces and Teichmüller Theory. The author is an internationally recognized expert in dynamical systems with a talent to explain topics that is rarely found in the field. He has created a text that would benefit specialists in, not only dynamical systems and geometry, but also Lie theory and number theory.
410  0$aAtlantis Studies in Dynamical Systems ;$v7
606   $aDynamics
606   $aErgodic theory
606   $aAlgebraic geometry
606   $aTopology
606   $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X
606   $aAlgebraic Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M11019
606   $aTopology$3https://scigraph.springernature.com/ontologies/product-market-codes/M28000
615  0$aDynamics.
615  0$aErgodic theory.
615  0$aAlgebraic geometry.
615  0$aTopology.
615 14$aDynamical Systems and Ergodic Theory.
615 24$aAlgebraic Geometry.
615 24$aTopology.
676   $a515.39
676   $a515.48
700   $aMatheus Silva Santos$b Carlos$4aut$4http://id.loc.gov/vocabulary/relators/aut$0768233
906   $aBOOK
912   $a9910300139003321
996   $aDynamical Aspects of Teichmüller Theory$91564710
997   $aUNINA