Geometry, Topology, and Dynamics in Negative Curvature (Paperback)

C.S. Aravinda

ISBN 10: 110752900X / ISBN 13: 9781107529007

Published by Cambridge University Press, Cambridge, 2016

About this Item

Paperback. The ICM 2010 satellite conference 'Geometry, Topology and Dynamics in Negative Curvature' afforded an excellent opportunity to discuss various aspects of this fascinating interdisciplinary subject in which methods and techniques from geometry, topology, and dynamics often interact in novel and interesting ways. Containing ten survey articles written by some of the leading experts in the field, this proceedings volume provides an overview of important recent developments relating to negative curvature. Topics covered include homogeneous dynamics, harmonic manifolds, the Atiyah Conjecture, counting circles and arcs, and hyperbolic buildings. Each author pays particular attention to the expository aspects, making the book particularly useful for graduate students and mathematicians interested in transitioning from other areas via the common theme of negative curvature. Negative curvature arises in several mathematical areas, including geometry, topology, dynamics, and number theory. This volume contains survey articles around this common theme, which should help mathematicians interested in transitioning between these areas, as well as graduate students entering this interdisciplinary subject. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.

Seller Inventory # 9781107529007

Bibliographic Details

• Title: Geometry, Topology, and Dynamics in Negative Curvature (Paperback)
• Publisher: Cambridge University Press, Cambridge
• Publication Date: 2016
• Language: English
• ISBN 10: 110752900X
• ISBN 13: 9781107529007
• Binding: Paperback
• Condition: new

About this title

Synopsis

The ICM 2010 satellite conference 'Geometry, Topology and Dynamics in Negative Curvature' afforded an excellent opportunity to discuss various aspects of this fascinating interdisciplinary subject in which methods and techniques from geometry, topology, and dynamics often interact in novel and interesting ways. Containing ten survey articles written by some of the leading experts in the field, this proceedings volume provides an overview of important recent developments relating to negative curvature. Topics covered include homogeneous dynamics, harmonic manifolds, the Atiyah Conjecture, counting circles and arcs, and hyperbolic buildings. Each author pays particular attention to the expository aspects, making the book particularly useful for graduate students and mathematicians interested in transitioning from other areas via the common theme of negative curvature.

About the Authors

C. S. Aravinda is an Associate Professor in the TIFR Centre for Applicable Mathematics, Bangalore. His main research interests are the study of manifolds of non-positive curvature, with special focus on their dynamic, geometric and topological aspects.

F. T. Farrell is a Professor in the Mathematics Department and Yau Mathematical Sciences Center at Tsinghua University, Beijing, China. His research area is manifold topology.

J.-F. Lafont is a Professor in the Mathematics Department at Ohio State University. He studies the geometry, topology, and dynamics of spaces of negative curvature.