What's Next? : : The Mathematical Legacy of William P. Thurston (AMS-205) / / ed. by Dylan Thurston.

• Superior document: Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2020 English
• MitwirkendeR: Agol, Ian,; Baik, Hyungryul,; Boileau, Michel,; Bridson, Martin R.,; Calegari, Danny,; Delecroix, Vincent,; Dunfield, Nathan M.,; Farb, Benson,; Franks, John,; Friedl, Stefan,; Gromov, Misha,; Hubbard, John H.,; Kenyon, Richard,; Koch, Sarah,; Lei, Tan,; Lindsey, Kathryn A.,; Liu, Yi,; Markovic, Vladimir,; Ni, Yi,; Reid, Alan W.,; Sullivan, Dennis,; Thurston, Dylan P.,; Thurston, William P.,; Wise, Daniel T.,; Yan, Gao,; Zhang, Xingru,; Zorich, Anton,
• HerausgeberIn: Thurston, Dylan,
• Place / Publishing House: Princeton, NJ : : Princeton University Press, , [2020]; ©2019
• Year of Publication: 2020
• Language: English
• Series: Annals of Mathematics Studies ; 363
• Physical Description: 1 online resource (472 p.)

William Thurston (1946-2012) was one of the great mathematicians of the twentieth century. He was a visionary whose extraordinary ideas revolutionized a broad range of mathematical fields, from foliations, contact structures, and Teichmüller theory to automorphisms of surfaces, hyperbolic geometry, geometrization of 3-manifolds, geometric group theory, and rational maps. In addition, he discovered connections between disciplines that led to astonishing breakthroughs in mathematical understanding as well as the creation of entirely new fields. His far-reaching questions and conjectures led to enormous progress by other researchers. What's Next? brings together many of today's leading mathematicians to describe recent advances and future directions inspired by Thurston's transformative ideas.Including valuable insights from his colleagues and former students, What's Next? discusses Thurston's fundamental contributions to topology, geometry, and dynamical systems and includes many deep and original contributions to the field. This incisive and wide-ranging book also explores how he introduced new ways of thinking about and doing mathematics, innovations that have had a profound and lasting impact on the mathematical community as a whole.

Table of Contents

Frontmatter -- Contents -- Preface -- Certifying the Thurston Norm via SL(2,C)-twisted Homology -- The Profinite Completion of 3-Manifold Groups, Fiberedness and the Thurston Norm -- Profinite Rigidity, Fibering, and the Figure-Eight Knot -- Coxeter Groups and Random Groups -- Cries and Whispers in Wind-Tree Forests -- Groups of Homeomorphisms of One-Manifolds, I: Actions of Nonlinear Groups -- Morse Spectra, Homology Measures, Spaces of Cycles and Parametric Packing Problems -- Right-Angled Hexagon Tilings of the Hyperbolic Plane -- On Balanced Planar Graphs, Following W. Thurston -- Construction of Subsurfaces via Good Pants -- Dehn Surgery on Knots in S3 Producing Nil Seifert Fibered Spaces -- Degree-d-invariant Laminations -- An Invitation to Coherent Groups -- A Decade of Thurston Stories -- List of Contributors