Singularities and Foliations. Geometry, Topology and Applications

BMMS 2/NBMS 3, Salvador, Brazil, 2015

Raimundo Nonato Araújo dos Santos, Aurélio Menegon Neto, David Mond, Marcelo J. Saia, Jawad Snoussi (Herausgeber)

Buch | Softcover

XI, 553 Seiten

2019 | 1. Softcover reprint of the original 1st ed. 2018
Springer International Publishing (Verlag)
978-3-030-08826-2 (ISBN)

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This proceedings book brings selected works from two conferences, the 2nd Brazil-Mexico Meeting on Singularity and the 3rd Northeastern Brazilian Meeting on Singularities, that were hold in Salvador, in July 2015. All contributions were carefully peer-reviewed and revised, and cover topics like Equisingularity, Topology and Geometry of Singularities, Topological Classification of Singularities of Mappings, and more. They were written by mathematicians from several countries, including Brazil, Spain, Mexico, Japan and the USA, on relevant topics on Theory of Singularity, such as studies on deformations, Milnor fibration, foliations, Catastrophe theory, and myriad applications. Open problems are also introduced, making this volume a must-read both for graduate students and active researchers in this field.

Raimundo Nonato Araújo dos Santos is an Associate Professor at the Institute of Mathematics and Computer Sciences of the University of São Paulo, Brazil. He holds a PhD in Mathematics (Singularity Theory) from the University of São Paulo (2002), with studies in Catastrophe Theory at the Northeastern University, in the USA. His research is on the fields of geometry and topology of real and complex singularities, real and complex Milnor fibrations, and topology of polynomial mappings at infinity. Aurelio Menegon Neto is an Adjunct Professor at the Federal University of Paraíba, Brazil. He holds a PhD in Mathematics from the National Autonomous University of Mexico (UNAM) and did post-doc studies at the Institute of Mathematics and Computer Sciences of the University of São Paulo, Brazil, and UNAM, Mexico. His field of research is Singularity Theory, more specifically on the topology of real and complex manifolds and singularities in differential applications. David Mond is a Full Professor at the Mathematics Institute of the University of Warwick, England. He did his PhD in Liverpool (1982), England, and has held several appointments in institutions such as University of Los Andes (Colombia), National University (Colombia), University of Seville (Spain) and Institut des Hautes Etudes Scientifiques (France). He is also co-editor of "Singularity Theory and its Applications", published with Springer, and has published over 40 papers and lecture notes on this field. Marcelo J. Saia is a Full Professor at the Institute of Mathematics and Computer Sciences of the University of São Paulo, Brazil. He did his PhD at the University of São Paulo (1991), with studies at the University of Liverpool, England. His current research is focused on Singularity and Catastrophe Theory, more specifically on singularities of differential applications; singularities, dynamical systems and geometry; and topology of singular manifolds.

Chapter 1. Combinatorial Models in the Topological Classification of Singularities of Mappings (J.J. Nuno-Ballesteros).- Chapter 2. Topology of real singularities (Nicolas Dutertre).- Chapter 3. Equisingularity and the Theory of Integral Closure (Terence Ga ney).- Chapter 4. A Brief Survey on Singularities of Geodesic Flows in Smooth Signature Changing Metrics on 2-Surfaces (N.G. Pavlova).- Chapter 5. Orbital Formal Rigidity for Germs of Holomorphic and Real Analytic Vector Fields (Jessica Angelica Jaurez-Rosas).

Erscheinungsdatum	21.01.2019
Reihe/Serie	Springer Proceedings in Mathematics & Statistics
Zusatzinfo	XI, 553 p. 66 illus., 27 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	860 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	32S05 • 32S15 • 32S55 • 32S65 • 58K05 • 58K15 • 58K35 • 58K60 • conference proceedings • Equisingularity • Foliations • Mappings • Milnor Fibration • Research • Singularities
ISBN-10	3-030-08826-X / 303008826X
ISBN-13	978-3-030-08826-2 / 9783030088262
Zustand	Neuware