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

Contributor(s): Thurston, William P, 1946-2012 [honouree.] | Thurston, Dylan P, 1972- [editor.].
Material type: materialTypeLabelBookSeries: Annals of mathematics studies ; Number 205.Publisher: Princeton : Princeton University Press, 2020Description: 1 online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9780691185897; 0691185891.Other title: What is next?.Subject(s): Thurston, William P., 1946-2012 | Thurston, William P., 1946-2012 | Topology | Geometry | Dynamics | Topologie | G�eom�etrie | Dynamique | geometry | kinetics (dynamics) | MATHEMATICS -- General | Dynamics | Geometry | TopologyGenre/Form: Electronic books. | Festschriften. | Festschriften.Additional physical formats: Print version:: What's next?DDC classification: 516 Online resources: Click here to access online
Contents:
Certifying the Thurston norm via SL(2,C)-twisted homology / Ian Agol and Nathan M. Dunfield -- The profinite completion of 3-manifold groups, fiberedness and the Thurston norm / Michel Boileau and Stefan Friedl -- Profinite rigidity, fibering, and the figure-eight knot / M.R. Bridson and A.W. Reid -- Coxeter groups and random groups / Danny Calegari -- Cries and whispers in wind-tree forests / Vincent Delecroix and Anton Zorich -- Groups of homeomorphisms of one-manifolds, I : actions of nonlinear groups / Benson Farb and John Franks -- Morse spectra, homology measures, spaces of cycles and parametric packing problems / Misha Gromov -- Right-angled hexagon tilings of the hyperbolic plane / R. Kenyon -- On balanced planar graphs, following W. Thurston / Sarah Koch and Tan Lei -- Construction of subsurfaces via good pants / Yi Liu and Vladimir Markovic -- Dehn surgery on knots in S3 producing nil Seifert fibered spaces / Yi Ni and Xingru Zhang -- Degree-d-invariant laminations / William P. Thurston, Hyungryul Baik, Gao Yan, John H. Hubbard, Kathryn A. Lindsey, Tan Lei, and Dylan P. Thurston -- An invitation to coherent groups / Daniel T. Wise -- A decade of Thurston stories / Dennis Sullivan.
Summary: "In June of 2014, a conference was held in William Thurston's honor called "What's Next? the mathematical legacy of Bill Thurston." This volume includes papers from conference presenters and solicited papers by prominent scholars. The papers are based on Thurston's fundamental contributions to topology, geometry, and dynamical systems. Beyond these specific accomplishments, they discuss how he introduced new ways of thinking about and of seeing mathematics that have had a profound influence on the entire mathematical community - Thurston discovered connections between disciplines that led to the creation of entirely new fields. This book brings together mathematicians from a broad spectrum of areas to describe recent advances and explore future directions motivated by Thurston's transformative ideas"-- Provided by publisher
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Certifying the Thurston norm via SL(2,C)-twisted homology / Ian Agol and Nathan M. Dunfield -- The profinite completion of 3-manifold groups, fiberedness and the Thurston norm / Michel Boileau and Stefan Friedl -- Profinite rigidity, fibering, and the figure-eight knot / M.R. Bridson and A.W. Reid -- Coxeter groups and random groups / Danny Calegari -- Cries and whispers in wind-tree forests / Vincent Delecroix and Anton Zorich -- Groups of homeomorphisms of one-manifolds, I : actions of nonlinear groups / Benson Farb and John Franks -- Morse spectra, homology measures, spaces of cycles and parametric packing problems / Misha Gromov -- Right-angled hexagon tilings of the hyperbolic plane / R. Kenyon -- On balanced planar graphs, following W. Thurston / Sarah Koch and Tan Lei -- Construction of subsurfaces via good pants / Yi Liu and Vladimir Markovic -- Dehn surgery on knots in S3 producing nil Seifert fibered spaces / Yi Ni and Xingru Zhang -- Degree-d-invariant laminations / William P. Thurston, Hyungryul Baik, Gao Yan, John H. Hubbard, Kathryn A. Lindsey, Tan Lei, and Dylan P. Thurston -- An invitation to coherent groups / Daniel T. Wise -- A decade of Thurston stories / Dennis Sullivan.

"In June of 2014, a conference was held in William Thurston's honor called "What's Next? the mathematical legacy of Bill Thurston." This volume includes papers from conference presenters and solicited papers by prominent scholars. The papers are based on Thurston's fundamental contributions to topology, geometry, and dynamical systems. Beyond these specific accomplishments, they discuss how he introduced new ways of thinking about and of seeing mathematics that have had a profound influence on the entire mathematical community - Thurston discovered connections between disciplines that led to the creation of entirely new fields. This book brings together mathematicians from a broad spectrum of areas to describe recent advances and explore future directions motivated by Thurston's transformative ideas"-- Provided by publisher

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