What's next? : the mathematical legacy of William P. Thurston / edited by Dylan P. Thurston.

Format:

Book

Contributor:

Thurston, Dylan P., 1972- editor.

Series:

Annals of mathematics studies ; Number 205.

Annals of mathematics studies ; Number 205

Language:

English

Subjects (All):

Thurston, William P., 1946-2012.

Thurston, William P.

Dynamics.

Geometry.

Topology.

Physical Description:

1 online resource (vi, 425 pages) : illustrations.

Place of Publication:

Princeton, New Jersey ; Oxford : Princeton University Press, [2020]

Summary:

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.

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

Notes:

Description based on print version record.

ISBN:

9780691185897

0691185891

OCLC:

1154544158