Geometry Topology And Dynamics In Negative Curvature

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Geometry, Topology, and Dynamics in Negative Curvature

C. S. Aravinda,F. Thomas Farrell,Jean-François Lafont
Geometry Topology and Dynamics in Negative Curvature Book PDF

Author : C. S. Aravinda,F. Thomas Farrell,Jean-François Lafont
Publisher : Unknown
Page : 363 pages
File Size : 49,7 Mb
Release : 2016
Category : MATHEMATICS
ISBN : 131654348X

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Geometry, Topology, and Dynamics in Negative Curvature by C. S. Aravinda,F. Thomas Farrell,Jean-François Lafont Pdf

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.

Geometry, Topology, and Dynamics in Negative Curvature

C. S. Aravinda,F. T. Farrell,J.-F. Lafont
Geometry Topology and Dynamics in Negative Curvature Book PDF

Author : C. S. Aravinda,F. T. Farrell,J.-F. Lafont
Publisher : Cambridge University Press
Page : 378 pages
File Size : 51,7 Mb
Release : 2016-01-21
Category : Mathematics
ISBN : 9781107529007

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Geometry, Topology, and Dynamics in Negative Curvature by C. S. Aravinda,F. T. Farrell,J.-F. Lafont Pdf

Ten high-quality survey articles provide an overview of important recent developments in the mathematics surrounding negative curvature.

Geometry, Topology, and Dynamics in Negative Curvature

C. S. Aravinda,F. T. Farrell,J. -F. Lafont
Geometry Topology and Dynamics in Negative Curvature Book PDF

Author : C. S. Aravinda,F. T. Farrell,J. -F. Lafont
Publisher : Cambridge University Press
Page : 0 pages
File Size : 55,5 Mb
Release : 2016-01-27
Category : Mathematics
ISBN : 1316540901

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Geometry, Topology, and Dynamics in Negative Curvature by C. S. Aravinda,F. T. Farrell,J. -F. Lafont Pdf

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.

Ergodic Theory and Negative Curvature

Boris Hasselblatt
Ergodic Theory and Negative Curvature Book PDF

Author : Boris Hasselblatt
Publisher : Springer
Page : 334 pages
File Size : 49,7 Mb
Release : 2017-12-15
Category : Mathematics
ISBN : 9783319430591

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Ergodic Theory and Negative Curvature by Boris Hasselblatt Pdf

Focussing on the mathematics related to the recent proof of ergodicity of the (Weil–Petersson) geodesic flow on a nonpositively curved space whose points are negatively curved metrics on surfaces, this book provides a broad introduction to an important current area of research. It offers original textbook-level material suitable for introductory or advanced courses as well as deep insights into the state of the art of the field, making it useful as a reference and for self-study. The first chapters introduce hyperbolic dynamics, ergodic theory and geodesic and horocycle flows, and include an English translation of Hadamard's original proof of the Stable-Manifold Theorem. An outline of the strategy, motivation and context behind the ergodicity proof is followed by a careful exposition of it (using the Hopf argument) and of the pertinent context of Teichmüller theory. Finally, some complementary lectures describe the deep connections between geodesic flows in negative curvature and Diophantine approximation.

Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics

Marco Pettini
Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics Book PDF

Author : Marco Pettini
Publisher : Springer Science & Business Media
Page : 460 pages
File Size : 50,7 Mb
Release : 2007-06-14
Category : Mathematics
ISBN : 9780387499574

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Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics by Marco Pettini Pdf

This book covers a new explanation of the origin of Hamiltonian chaos and its quantitative characterization. The author focuses on two main areas: Riemannian formulation of Hamiltonian dynamics, providing an original viewpoint about the relationship between geodesic instability and curvature properties of the mechanical manifolds; and a topological theory of thermodynamic phase transitions, relating topology changes of microscopic configuration space with the generation of singularities of thermodynamic observables. The book contains numerous illustrations throughout and it will interest both mathematicians and physicists.

Topological Methods in Group Theory

N. Broaddus,M. Davis,J.-F. Lafont,I. J. Ortiz
Topological Methods in Group Theory Book PDF

Author : N. Broaddus,M. Davis,J.-F. Lafont,I. J. Ortiz
Publisher : Cambridge University Press
Page : 211 pages
File Size : 44,5 Mb
Release : 2018-09-06
Category : Mathematics
ISBN : 9781108437622

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Topological Methods in Group Theory by N. Broaddus,M. Davis,J.-F. Lafont,I. J. Ortiz Pdf

Details some of the most recent developments at the interface of topology and geometric group theory. Ideal for graduate students.

Equivariant Topology and Derived Algebra

Scott Balchin,David Barnes,Magdalena Kędziorek,Markus Szymik
Equivariant Topology and Derived Algebra Book PDF

Author : Scott Balchin,David Barnes,Magdalena Kędziorek,Markus Szymik
Publisher : Cambridge University Press
Page : 357 pages
File Size : 51,6 Mb
Release : 2021-11-18
Category : Mathematics
ISBN : 9781108931946

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Equivariant Topology and Derived Algebra by Scott Balchin,David Barnes,Magdalena Kędziorek,Markus Szymik Pdf

A collection of research papers, both new and expository, based on the interests of Professor J. P. C. Greenlees.

Differential Geometry in the Large

Owen Dearricott,Wilderich Tuschmann,Yuri Nikolayevsky,Diarmuid Crowley,Thomas Leistner
Differential Geometry in the Large Book PDF

Author : Owen Dearricott,Wilderich Tuschmann,Yuri Nikolayevsky,Diarmuid Crowley,Thomas Leistner
Publisher : Cambridge University Press
Page : 401 pages
File Size : 44,8 Mb
Release : 2020-10-22
Category : Mathematics
ISBN : 9781108812818

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Differential Geometry in the Large by Owen Dearricott,Wilderich Tuschmann,Yuri Nikolayevsky,Diarmuid Crowley,Thomas Leistner Pdf

From Ricci flow to GIT, physics to curvature bounds, Sasaki geometry to almost formality. This is differential geometry at large.

Analysis and Geometry on Graphs and Manifolds

Matthias Keller,Daniel Lenz,Radoslaw K. Wojciechowski
Analysis and Geometry on Graphs and Manifolds Book PDF

Author : Matthias Keller,Daniel Lenz,Radoslaw K. Wojciechowski
Publisher : Cambridge University Press
Page : 493 pages
File Size : 40,7 Mb
Release : 2020-08-20
Category : Mathematics
ISBN : 9781108713184

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Analysis and Geometry on Graphs and Manifolds by Matthias Keller,Daniel Lenz,Radoslaw K. Wojciechowski Pdf

A contemporary exploration of the interplay between geometry, spectral theory and stochastics which is explored for graphs and manifolds.

Partial Differential Equations arising from Physics and Geometry

Mohamed Ben Ayed,Mohamed Ali Jendoubi,Yomna Rébaï,Hasna Riahi,Hatem Zaag
Partial Differential Equations arising from Physics and Geometry Book PDF

Author : Mohamed Ben Ayed,Mohamed Ali Jendoubi,Yomna Rébaï,Hasna Riahi,Hatem Zaag
Publisher : Cambridge University Press
Page : 471 pages
File Size : 43,8 Mb
Release : 2019-05-02
Category : Mathematics
ISBN : 9781108431637

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Partial Differential Equations arising from Physics and Geometry by Mohamed Ben Ayed,Mohamed Ali Jendoubi,Yomna Rébaï,Hasna Riahi,Hatem Zaag Pdf

Presents the state of the art in PDEs, including the latest research and short courses accessible to graduate students.

Facets of Algebraic Geometry

Paolo Aluffi,David Anderson,Milena Hering,Mircea Mustaţă,Sam Payne
Facets of Algebraic Geometry Book PDF

Author : Paolo Aluffi,David Anderson,Milena Hering,Mircea Mustaţă,Sam Payne
Publisher : Cambridge University Press
Page : 417 pages
File Size : 42,5 Mb
Release : 2022-04-07
Category : Mathematics
ISBN : 9781108792509

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Facets of Algebraic Geometry by Paolo Aluffi,David Anderson,Milena Hering,Mircea Mustaţă,Sam Payne Pdf

Written to honor the enduring influence of William Fulton, these articles present substantial contributions to algebraic geometry.

Recent Developments in Algebraic Geometry

Hamid Abban,Gavin Brown,Alexander Kasprzyk,Shigefumi Mori
Recent Developments in Algebraic Geometry Book PDF

Author : Hamid Abban,Gavin Brown,Alexander Kasprzyk,Shigefumi Mori
Publisher : Cambridge University Press
Page : 368 pages
File Size : 42,6 Mb
Release : 2022-09-30
Category : Mathematics
ISBN : 9781009190824

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Recent Developments in Algebraic Geometry by Hamid Abban,Gavin Brown,Alexander Kasprzyk,Shigefumi Mori Pdf

Written in celebration of Miles Reid's 70th birthday, this illuminating volume contains 11 papers by leading mathematicians in and around algebraic geometry, broadly related to the themes and interests of Reid's varied career. Just as in Reid's own scientific output, some of the papers give comprehensive accounts of the state of the art of foundational matters, while others give expositions of subject areas or techniques in concrete terms. Reid has been one of the major expositors of algebraic geometry and a great influence on many in this field – this book hopes to inspire a new generation of graduate students and researchers in his tradition.

Invariance of Modules under Automorphisms of their Envelopes and Covers

Ashish K. Srivastava,Askar Tuganbaev,Pedro A. Guil Asensio
Invariance of Modules under Automorphisms of their Envelopes and Covers Book PDF

Author : Ashish K. Srivastava,Askar Tuganbaev,Pedro A. Guil Asensio
Publisher : Cambridge University Press
Page : 235 pages
File Size : 42,7 Mb
Release : 2021-03-18
Category : Mathematics
ISBN : 9781108949538

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Invariance of Modules under Automorphisms of their Envelopes and Covers by Ashish K. Srivastava,Askar Tuganbaev,Pedro A. Guil Asensio Pdf

Provides a unified treatment of the study of modules invariant under automorphisms of their envelopes and covers.

The Genesis of the Langlands Program

Julia Mueller,Freydoon Shahidi
The Genesis of the Langlands Program Book PDF

Author : Julia Mueller,Freydoon Shahidi
Publisher : Cambridge University Press
Page : 451 pages
File Size : 47,9 Mb
Release : 2021-08-05
Category : Mathematics
ISBN : 9781108710947

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The Genesis of the Langlands Program by Julia Mueller,Freydoon Shahidi Pdf

A step-by-step guide to Langlands' early work leading up the Langlands Program for mathematicians and advanced students.

Constrained Willmore Surfaces

Áurea Casinhas Quintino
Constrained Willmore Surfaces Book PDF

Author : Áurea Casinhas Quintino
Publisher : Cambridge University Press
Page : 261 pages
File Size : 43,8 Mb
Release : 2021-06-10
Category : Mathematics
ISBN : 9781108794428

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Constrained Willmore Surfaces by Áurea Casinhas Quintino Pdf

From Bäcklund to Darboux: a comprehensive journey through the transformation theory of constrained Willmore surfaces, with applications to constant mean curvature surfaces.