Introduction to Lipschitz Geometry of Singularities: Lecture Notes of the International School on Singularity Theory and Lipschitz Geometry, ... (Lecture Notes in Mathematics, Band 2280) - Softcover

 
9783030618063: Introduction to Lipschitz Geometry of Singularities: Lecture Notes of the International School on Singularity Theory and Lipschitz Geometry, ... (Lecture Notes in Mathematics, Band 2280)
Softcover
ISBN 10: 3030618064 ISBN 13: 9783030618063
Verlag: Springer, 2021

Inhaltsangabe

This book presents a broad overview of the important recent progress which led to the emergence of new ideas in Lipschitz geometry and singularities, and started to build bridges to several major areas of singularity theory. Providing all the necessary background in a series of introductory lectures, it also contains Pham and Teissier's previously unpublished pioneering work on the Lipschitz classification of germs of plane complex algebraic curves. 

While a real or complex algebraic variety is topologically locally conical, it is in general not metrically conical; there are parts of its link with non-trivial topology which shrink faster than linearly when approaching the special point. The essence of the Lipschitz geometry of singularities is captured by the problem of building classifications of the germs up to local bi-Lipschitz homeomorphism. The Lipschitz geometry of a singular space germ is then its equivalence class in this category. 

The book is aimedat graduate students and researchers from other fields of geometry who are interested in studying the multiple open questions offered by this new subject.


Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Über die Autorin bzw. den Autor

Walter Neumann is a Professor Emeritus at Barnard College/Columbia University, having taught at Universities of Bonn, Maryland, Ohio State and Melbourne. He has published in topology, geometry, and group theory, but in the last several years he has emphasized Lipschitz geometry, on which he has worked mostly with Anne Pichon, Lev Birbrair and Alexander Fernandes.

Anne Pichon (PhD University of Geneva 1996) is a slow and happy geometer. She works on topological and geometrical aspects of complex singular germs of spaces and maps, and started to study Lipschitz geometry of singularities in June 2009 at the occasion of a walk with Walter Neumann and Lev Birbrair in the calanques of Luminy, Marseille. She has two loves: geometry and music.

Von der hinteren Coverseite

This book presents a broad overview of the important recent progress which led to the emergence of new ideas in Lipschitz geometry and singularities, and started to build bridges to several major areas of singularity theory. Providing all the necessary background in a series of introductory lectures, it also contains Pham and Teissier's previously unpublished pioneering work on the Lipschitz classification of germs of plane complex algebraic curves. 

While a real or complex algebraic variety is topologically locally conical, it is in general not metrically conical; there are parts of its link with non-trivial topology which shrink faster than linearly when approaching the special point. The essence of the Lipschitz geometry of singularities is captured by the problem of building classifications of the germs up to local bi-Lipschitz homeomorphism. The Lipschitz geometry of a singular space germ is then its equivalence class in this category. 

The book is aimed at graduate students and researchers from other fields of geometry who are interested in studying the multiple open questions offered by this new subject.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2021
Sprache
Englisch
ISBN 10 
3030618064
ISBN 13 
9783030618063
Einband
Taschenbuch
Auflage
1
Anzahl der Seiten
364
Herausgeber
Neumann Walter, Pichon Anne
Kontakt zum Hersteller
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