Variations On A Theme Of Borel

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Variations On A Theme Of Borel

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Author : Shmuel Weinberger
language : en
Publisher: Cambridge University Press
Release Date : 2022-12-08

Variations On A Theme Of Borel written by Shmuel Weinberger and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-08 with Mathematics categories.

In the middle of the last century, after hearing a talk of Mostow on one of his rigidity theorems, Borel conjectured in a letter to Serre a purely topological version of rigidity for aspherical manifolds (i.e. manifolds with contractible universal covers). The Borel conjecture is now one of the central problems of topology with many implications for manifolds that need not be aspherical. Since then, the theory of rigidity has vastly expanded in both precision and scope. This book rethinks the implications of accepting his heuristic as a source of ideas. Doing so leads to many variants of the original conjecture - some true, some false, and some that remain conjectural. The author explores this collection of ideas, following them where they lead whether into rigidity theory in its differential geometric and representation theoretic forms, or geometric group theory, metric geometry, global analysis, algebraic geometry, K-theory, or controlled topology.

Lectures On Contact 3 Manifolds Holomorphic Curves And Intersection Theory

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Author : Chris Wendl
language : en
Publisher: Cambridge University Press
Release Date : 2020-03-26

Lectures On Contact 3 Manifolds Holomorphic Curves And Intersection Theory written by Chris Wendl and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-26 with Mathematics categories.

An accessible introduction to the intersection theory of punctured holomorphic curves and its applications in topology.

Attractors Of Hamiltonian Nonlinear Partial Differential Equations

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Author : Alexander Komech
language : en
Publisher: Cambridge University Press
Release Date : 2021-09-30

Attractors Of Hamiltonian Nonlinear Partial Differential Equations written by Alexander Komech and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-30 with Mathematics categories.

This monograph is the first to present the theory of global attractors of Hamiltonian partial differential equations. A particular focus is placed on the results obtained in the last three decades, with chapters on the global attraction to stationary states, to solitons, and to stationary orbits. The text includes many physically relevant examples and will be of interest to graduate students and researchers in both mathematics and physics. The proofs involve novel applications of methods of harmonic analysis, including Tauberian theorems, Titchmarsh's convolution theorem, and the theory of quasimeasures. As well as the underlying theory, the authors discuss the results of numerical simulations and formulate open problems to prompt further research.

Variations On A Theme Of Borel

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Author : Shmuel Weinberger
language : en
Publisher: Cambridge University Press
Release Date : 2022-12-08

Variations On A Theme Of Borel written by Shmuel Weinberger and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-08 with Mathematics categories.

Explains, using examples, the central role of the fundamental group in the geometry, global analysis, and topology of manifolds.

Noncommutative Function Theoretic Operator Theory And Applications

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Author : Joseph A. Ball
language : en
Publisher: Cambridge University Press
Release Date : 2021-12-16

Noncommutative Function Theoretic Operator Theory And Applications written by Joseph A. Ball and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-16 with Mathematics categories.

This concise volume shows how ideas from function and systems theory lead to new insights for noncommutative multivariable operator theory.

The Random Matrix Theory Of The Classical Compact Groups

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Author : Elizabeth S. Meckes
language : en
Publisher: Cambridge University Press
Release Date : 2019-08

The Random Matrix Theory Of The Classical Compact Groups written by Elizabeth S. Meckes and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08 with Mathematics categories.

Provides a comprehensive introduction to the theory of random orthogonal, unitary, and symplectic matrices.

Advances In Noncommutative Geometry

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Author : Ali Chamseddine
language : en
Publisher: Springer Nature
Release Date : 2020-01-13

Advances In Noncommutative Geometry written by Ali Chamseddine and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-13 with Mathematics categories.

This authoritative volume in honor of Alain Connes, the foremost architect of Noncommutative Geometry, presents the state-of-the art in the subject. The book features an amalgam of invited survey and research papers that will no doubt be accessed, read, and referred to, for several decades to come. The pertinence and potency of new concepts and methods are concretely illustrated in each contribution. Much of the content is a direct outgrowth of the Noncommutative Geometry conference, held March 23–April 7, 2017, in Shanghai, China. The conference covered the latest research and future areas of potential exploration surrounding topology and physics, number theory, as well as index theory and its ramifications in geometry.

Defocusing Nonlinear Schr Dinger Equations

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Author : Benjamin Dodson
language : en
Publisher: Cambridge University Press
Release Date : 2019-03-28

Defocusing Nonlinear Schr Dinger Equations written by Benjamin Dodson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-28 with Mathematics categories.

Explores Schrödinger equations with power-type nonlinearity, with scattering results for mass- and energy-critical Schrödinger equations.

The Mordell Conjecture

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Author : Hideaki Ikoma
language : en
Publisher: Cambridge University Press
Release Date : 2022-02-03

The Mordell Conjecture written by Hideaki Ikoma and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-03 with Mathematics categories.

This book provides a self-contained proof of the Mordell conjecture (Faltings's theorem) and a concise introduction to Diophantine geometry.

Coarse Geometry Of Topological Groups

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Author : Christian Rosendal
language : en
Publisher: Cambridge University Press
Release Date : 2021-12-16

Coarse Geometry Of Topological Groups written by Christian Rosendal and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-16 with Mathematics categories.

Provides a general framework for doing geometric group theory for non-locally-compact topological groups arising in mathematical practice.