Singularity Theory: Dedicated To Jean-paul Brasselet On His 60th Birthday - Proceedings Of The 2005 Marseille Singularity School And Conference

Singularity Theory: Dedicated To Jean-paul Brasselet On His 60th Birthday - Proceedings Of The 2005 Marseille Singularity School And Conference
Author: Jean-paul Brasselet
Publisher: World Scientific
Total Pages: 1083
Release: 2007-02-08
Genre: Mathematics
ISBN: 9814476390

The Singularity School and Conference took place in Luminy, Marseille, from January 24th to February 25th 2005. More than 180 mathematicians from over 30 countries converged to discuss recent developments in singularity theory.The volume contains the elementary and advanced courses conducted by singularities specialists during the conference, general lectures on singularity theory, and lectures on applications of the theory to various domains. The subjects range from geometry and topology of singularities, through real and complex singularities, to applications of singularities.

Singularity Theory

Singularity Theory
Author: Denis Ch‚niot
Publisher: World Scientific
Total Pages: 1083
Release: 2007
Genre: Mathematics
ISBN: 9812704108

The Singularity School and Conference took place in Luminy, Marseille, from January 24th to February 25th 2005. More than 180 mathematicians from over 30 countries converged to discuss recent developments in singularity theory.The volume contains the elementary and advanced courses conducted by singularities specialists during the conference, general lectures on singularity theory, and lectures on applications of the theory to various domains. The subjects range from geometry and topology of singularities, through real and complex singularities, to applications of singularities.

Singularities - Kagoshima 2017: Proceedings Of The 5th Franco-japanese-vietnamese Symposium On Singularities

Singularities - Kagoshima 2017: Proceedings Of The 5th Franco-japanese-vietnamese Symposium On Singularities
Author:
Publisher: World Scientific
Total Pages: 312
Release: 2020-06-15
Genre: Mathematics
ISBN: 981120604X

This is a proceedings of the 5th Franco-Japanese-Vietnamese Symposium on Singularities held in Kagoshima during 27th October - 3rd November, 2017. The main theme of the symposium was Singularity Theory in a broad sense, including complex and real algebraic varieties, functions and mappings, and topology of singularities. The symposium was based on long-term interaction of singularity theorists in France, Japan, Vietnam and other countries. This volume includes three surveys of recent trends based on the lectures in the mini-school organized in the first two days of the symposium and articles presenting recent progress in Singularity Theory.

Singularities I

Singularities I
Author: Jean-Paul Brasselet
Publisher: American Mathematical Soc.
Total Pages: 370
Release: 2008
Genre: Singularities (Mathematics)
ISBN: 082184458X

Perturbation Theory

Perturbation Theory
Author: Giuseppe Gaeta
Publisher: Springer Nature
Total Pages: 601
Release: 2022-12-16
Genre: Science
ISBN: 1071626213

This volume in the Encyclopedia of Complexity and Systems Science, Second Edition, is devoted to the fundamentals of Perturbation Theory (PT) as well as key applications areas such as Classical and Quantum Mechanics, Celestial Mechanics, and Molecular Dynamics. Less traditional fields of application, such as Biological Evolution, are also discussed. Leading scientists in each area of the field provide a comprehensive picture of the landscape and the state of the art, with the specific goal of combining mathematical rigor, explicit computational methods, and relevance to concrete applications. New to this edition are chapters on Water Waves, Rogue Waves, Multiple Scales methods, legged locomotion, Condensed Matter among others, while all other contributions have been revised and updated. Coverage includes the theory of (Poincare’-Birkhoff) Normal Forms, aspects of PT in specific mathematical settings (Hamiltonian, KAM theory, Nekhoroshev theory, and symmetric systems), technical problems arising in PT with solutions, convergence of series expansions, diagrammatic methods, parametric resonance, systems with nilpotent real part, PT for non-smooth systems, and on PT for PDEs [write out this acronym partial differential equations]. Another group of papers is focused specifically on applications to Celestial Mechanics, Quantum Mechanics and the related semiclassical PT, Quantum Bifurcations, Molecular Dynamics, the so-called choreographies in the N-body problem, as well as Evolutionary Theory. Overall, this unique volume serves to demonstrate the wide utility of PT, while creating a foundation for innovations from a new generation of graduate students and professionals in Physics, Mathematics, Mechanics, Engineering and the Biological Sciences.

Vector fields on Singular Varieties

Vector fields on Singular Varieties
Author: Jean-Paul Brasselet
Publisher: Springer
Total Pages: 242
Release: 2009-11-28
Genre: Mathematics
ISBN: 3642052053

Many authors have questioned the use of the index of the vector field, and of the Chern classes, if the underlying space becomes singular. This book discusses their explorations within the framework of the obstruction theory and the Chern-Weil theory.

Arbeitstagung Bonn 2013

Arbeitstagung Bonn 2013
Author: Werner Ballmann
Publisher: Birkhäuser
Total Pages: 427
Release: 2016-11-11
Genre: Mathematics
ISBN: 3319436481

This volume contains selected papers authored by speakers and participants of the 2013 Arbeitstagung, held at the Max Planck Institute for Mathematics in Bonn, Germany, from May 22-28. The 2013 meeting (and this resulting proceedings) was dedicated to the memory of Friedrich Hirzebruch, who passed away on May 27, 2012. Hirzebruch organized the first Arbeitstagung in 1957 with a unique concept that would become its most distinctive feature: the program was not determined beforehand by the organizers, but during the meeting by all participants in an open discussion. This ensured that the talks would be on the latest developments in mathematics and that many important results were presented at the conference for the first time. Written by leading mathematicians, the papers in this volume cover various topics from algebraic geometry, topology, analysis, operator theory, and representation theory and display the breadth and depth of pure mathematics that has always been characteristic of the Arbeitstagung.

Vector Fields on Singular Varieties

Vector Fields on Singular Varieties
Author: Jean-Paul Brasselet
Publisher: Springer Science & Business Media
Total Pages: 242
Release: 2009-12-17
Genre: Mathematics
ISBN: 3642052045

Vector fields on manifolds play a major role in mathematics and other sciences. In particular, the Poincaré-Hopf index theorem gives rise to the theory of Chern classes, key manifold-invariants in geometry and topology. It is natural to ask what is the ‘good’ notion of the index of a vector field, and of Chern classes, if the underlying space becomes singular. The question has been explored by several authors resulting in various answers, starting with the pioneering work of M.-H. Schwartz and R. MacPherson. We present these notions in the framework of the obstruction theory and the Chern-Weil theory. The interplay between these two methods is one of the main features of the monograph.

Humanitarian Reason

Humanitarian Reason
Author: Didier Fassin
Publisher: Univ of California Press
Total Pages: 352
Release: 2012
Genre: Business & Economics
ISBN: 0520271165

Studies primarily France with shorter sections on South Africa, Venezuela, and Palestine.