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Look Inside Differential Geometry in the Large

Differential Geometry in the Large

$99.00 (C)

Part of London Mathematical Society Lecture Note Series

Owen Dearricott, Wilderich Tuschmann, Yuri Nikolayevsky, Thomas Leistner, Diarmuid Crowley, Christoph Böhm, Ramiro A. Lafuente, Theodora Bourni, Mat Langford, Giuseppe Tinaglia, Paul Bryan, Mohammad N. Ivaki, Julian Scheuer, A. Rod Gover, Valentina-Mira Wheeler, Klaus Kröncke, Boris Vertman, Charles P. Boyer, Hongnian Huang, Eveline Legendre, Christina W. Tønnesen-Friedman, Timothy Buttsworth, Artem Pulemotov, Andrew K. Waldron, Claude LeBrun, Matthias Ludewig, Lorenz Schwachhöfer, Sebastian Goette, Martin Kerin, Krishnan Shankar, Fernando Galaz-García, Luis Guijarro, Jesús Núñez-Zimbrón, Stephan Klaus, Nan Li, Jiayin Pan, Guofang Wei, Joseph A. Wolf
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  • Publication planned for: November 2020
  • availability: Not yet published - available from November 2020
  • format: Paperback
  • isbn: 9781108812818

$ 99.00 (C)
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About the Authors
  • The 2019 'Australian-German Workshop on Differential Geometry in the Large' represented an extraordinary cross section of topics across differential geometry, geometric analysis and differential topology. The two-week programme featured talks from prominent keynote speakers from across the globe, treating geometric evolution equations, structures on manifolds, non-negative curvature and Alexandrov geometry, and topics in differential topology. A joy to the expert and novice alike, this proceedings volume touches on topics as diverse as Ricci and mean curvature flow, geometric invariant theory, Alexandrov spaces, almost formality, prescribed Ricci curvature, and Kähler and Sasaki geometry.

    • Treats very recent developments in differential geometry, geometric analysis and differential topology
    • High-profile contributors cover an extraordinary breadth of topics in one volume
    • Clear exposition discussing recent, relevant results
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    Reviews & endorsements

    'The high-quality surveys and original work in this book give a convenient path to understand some recent exciting developments in global Differential Geometry and Geometric Analysis. This should be of great value to graduate students entering the field, as well as to more experienced researchers looking for an updated perspective on a wide range of topics, ranging from nonnegative curvature and Alexandrov spaces to geometric flows and equivariant geometry.' Renato G. Bettiol, Lehman College, The City University of New York

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    Product details

    • Publication planned for: November 2020
    • format: Paperback
    • isbn: 9781108812818
    • dimensions: 228 x 152 mm
    • availability: Not yet published - available from November 2020
  • Table of Contents

    Introduction Owen Dearricott, Wilderich Tuschmann, Yuri Nikolayevsky, Thomas Leistner and Diarmuid Crowley
    Part I. Geometric Evolution Equations and Curvature Flow:
    1. Real geometric invariant theory Christoph Böhm and Ramiro A. Lafuente
    2. Convex ancient solutions to mean curvature flow Theodora Bourni, Mat Langford and Giuseppe Tinaglia
    3. Negatively curved three-manifolds, hyperbolic metrics, isometric embeddings in Minkowski space and the cross curvature flow Paul Bryan, Mohammad N. Ivaki and Julian Scheuer
    4. A mean curvature flow for conformally compact manifolds A. Rod Gover and Valentina-Mira Wheeler
    5. A survey on the Ricci flow on singular spaces Klaus Kröncke and Boris Vertman
    Part II. Structures on Manifolds and Mathematical Physics:
    6. Some open problems in Sasaki geometry Charles P. Boyer, Hongnian Huang, Eveline Legendre and Christina W. Tønnesen-Friedman
    7. The prescribed Ricci curvature problem for homogeneous metrics Timothy Buttsworth and Artem Pulemotov
    8. Singular Yamabe and Obata problems A. Rod Gover and Andrew K. Waldron
    9. Einstein metrics, harmonic forms and conformally Kähler geometry Claude LeBrun
    10. Construction of the supersymmetric path integral: a survey Matthias Ludewig
    11. Tight models of de-Rham algebras of highly connected manifolds Lorenz Schwachhöfer
    Part III. Recent Developments in Non-Negative Sectional Curvature:
    12. Fake lens spaces and non-negative sectional curvature Sebastian Goette, Martin Kerin and Krishnan Shankar
    13. Collapsed three-dimensional Alexandrov spaces: a brief survey Fernando Galaz-García, Luis Guijarro and Jesús Núñez-Zimbrón
    14. Pseudo-angle systems and the simplicial Gauss–Bonnet–Chern theorem Stephan Klaus
    15. Aspects and examples on quantitative stratification with lower curvature bounds Nan Li
    16. Universal covers of Ricci limit and RCD spaces Jiayin Pan and Guofang Wei
    17. Local and global homogeneity for manifolds of positive curvature Joseph A. Wolf.

  • Editors

    Owen Dearricott, La Trobe University, Australia
    Owen Dearricott is Honorary Research Fellow at La Trobe University, Australia. A Riemannian geometer best known for his work constructing metrics of positive sectional curvature in dimension seven, he was a co-author of a proceedings volume of the 2010 mini-meeting in Differential Geometry at CIMAT, Guanajuato.

    Wilderich Tuschmann, Karlsruhe Institute of Technology, Germany
    Wilderich Tuschmann holds the Differential Geometry Professorial Chair at Karlsruhe Institute of Technology, Germany. He is a geometer with research interests in global differential geometry and geometric topology. He co-authored a scientific biography of the Russian mathematician Sofya Kovalevskaya (1993) and Moduli Spaces of Riemannian Metrics (2015).

    Yuri Nikolayevsky, La Trobe University, Australia
    Yuri Nikolayevsky is Senior Lecturer at La Trobe University, Australia. He is a differential geometer best known for his work on Osserman manifolds and homogeneous geometry. He has organised numerous geometry workshops in Australia and was the director of the Australian Mathematical Sciences Institute Summer School at La Trobe University in 2020.

    Thomas Leistner, University of Adelaide
    Thomas Leistner is Associate Professor at the University of Adelaide. He is a differential geometer who works on Lorentzian and pseudo-Riemann geometry, conformal geometry and holonomy theory.

    Diarmuid Crowley, University of Melbourne
    Diarmuid Crowley is Associate Professor at the University of Melbourne. He is a differential topologist with special expertise in the classification of 7-manifolds via smooth invariants.

    Contributors

    Owen Dearricott, Wilderich Tuschmann, Yuri Nikolayevsky, Thomas Leistner, Diarmuid Crowley, Christoph Böhm, Ramiro A. Lafuente, Theodora Bourni, Mat Langford, Giuseppe Tinaglia, Paul Bryan, Mohammad N. Ivaki, Julian Scheuer, A. Rod Gover, Valentina-Mira Wheeler, Klaus Kröncke, Boris Vertman, Charles P. Boyer, Hongnian Huang, Eveline Legendre, Christina W. Tønnesen-Friedman, Timothy Buttsworth, Artem Pulemotov, Andrew K. Waldron, Claude LeBrun, Matthias Ludewig, Lorenz Schwachhöfer, Sebastian Goette, Martin Kerin, Krishnan Shankar, Fernando Galaz-García, Luis Guijarro, Jesús Núñez-Zimbrón, Stephan Klaus, Nan Li, Jiayin Pan, Guofang Wei, Joseph A. Wolf

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