Real and complex singularities : [10th International Workshop on Real and Complex Singularities, July 27 - August 01, 2008, ICMC-USP, São Carlos - SP, Brazil

The Biennial Meetings At São Carlos Have Helped Create A Worldwide Community Of Experts And Young Researchers Working On Singularity Theory, With A Special Focus On Applications To A Wide Variety Of Topics In Both Pure And Applied Mathematics. The Tenth Meeting, Celebrating The 60th Birthdays Of Terence Gaffney And Maria Aparecida Soares Ruas, Was A Special Occasion Attracting The Best Known Names In The Area. This Volume Contains Contributions By The Attendees, Including Three Articles Written Or Co-authored By Gaffney Himself, And Survey Articles On The Existence Of Milnor Fibrations, Global Classifications And Graphs, Pairs Of Foliations On Surfaces, And Gaffney's Work On Equisingularity-- This Book Is A Selection Of Papers Submitted For The Proceedings Of The 10th Workshop On Real And Complex Singularities. They Are Grouped Into Three Categories: Singularity Theory (7 Papers), Singular Varieties (8 Papers) And Applications To Dynamical Systems, Generic Geometry, Singular Foliations Etc (10 Papers). Among Them, Four Are Survey Papers: Local Euler Obstruction, Old And New, Ii, By N.g. Grulha Jr. And J.-p. Brasselet, Global Classifications And Graphs, By J. Martinez-alfaro, C. Mendes De Jesus And M.c. Romero-fuster, Pairs Of Foliations On Surfaces, By F. Tari, Gaffney's Work On Equisingularity, By C.t.c. Wall-- On A Conjecture / A. Durfee E. Artal Bartolo, J. Carmona Ruber And A. Melle-hernández -- On Normal Embedding Of Complex Algebraic Surfaces / L. Birbrair, A. Fernandes And W.d. Neumann -- Local Euler Obstruction, Old And New, Ii / Jean-paul Brasselet And Nivaldo G. Grulha, Jr -- Branching Of Periodic Orbits In Reversible Hamiltonian Systems / C.a. Buzzi, L.a. Roberto And M.a. Teixeira -- Topological Invariance Of The Index Of A Binary Differential Equation / L.s. Challapa -- About The Existence Of Milnor Fibrations / J.l. Cisneros-molina And R.n. Araújo Dos Santos -- Counting Hypersurfaces Invariant By One-dimensional Complex Foliations / Mauricio Corrêa, Jr And Márcio G. Soares -- A Note On Topological Contact Equivalence / J.c.f. Costa -- Bi-lipschitz Equivalence, Integral Closure And Invariants / Terence Gaffney -- Solutions To Pdes And Stratification Conditions / Terence Gaffney -- Real Integral Closure And Milnor Fibrations / Terence Gaffney And R.n. Araújo Dos Santos --^ Surfaces Around Closed Principal Curvature Lines, An Inverse Problem / R. Garcia, L.f. Mello And J. Sotomayor -- Euler Characteristics And Atypical Values / Helmut A. Hamm -- Answer To A Question Of Zariski / A. Hefez And M.e. Hernandes -- Projections Of Timelike Surfaces In The De Sitter Space / Shyuichi Izumiya And Farid Tari -- Spacelike Submanifolds Of Codimension At Most Two In De Sitter Space / M. Kasedou -- The Geometry Of Hopf And Saddle-node Bifurcations For Waves Of Hodgkin-huxley Type / Isabel S. Labouriau And Paulo R.f. Pinto -- Global Classifications And Graphs / J. Marti;nez-alfaro, C. Mendes De Jesus And M.c. Romero-fuster -- Real Analytic Milnor Fibrations And A Strong Lojasiewicz Inequality / David B. Massey -- An Estimate Of The Degree Of L-determinacy By The Degree Of A-determinacy For Curve Germs / T. Nishimura -- Regularity Of The Transverse Intersection Of Two Regular Stratifications / Patrice Orro And David Trotman --^ Pairs Of Foliations On Surfaces / Farid Tari -- Bi-lipschitz Equisingularity / David Trotman -- Gaffney's Work On Equisingularity / C.t.c. Wall -- Singularities In Algebraic Data Acquisition / Y. Yomdin. Edited By M. Manoel, M.c. Romero Fuster, C.t.c Wall. Includes Bibliographical References. Machine generated contents note: Preface C. T. C. Wall, M. C. Romero Fuster and M. Manoel; On a conjecture by A. Durfee E. Artal Bartolo, J. Carmona Ruber and A. Melle-Hernández; On normal embedding of complex algebraic surfaces L. Birbrair, A. Fernandes and W. D. Neumann; Local Euler obstruction, old and new, II Jean-Paul Brasselet and Nivaldo G. Grulha, Jr; Branching of periodic orbits in reversible Hamiltonian systems C. A. Buzzi, L. A. Roberto and M. A. Teixeira; Topological invariance of the index of a binary differential equation L. S. Challapa; About the existence of Milnor fibrations J. L. Cisneros-Molina and R. N. Araújo dos Santos; Counting hypersurfaces invariant by one-dimensional complex foliations Mauricio Corrêa, Jr and Márcio G. Soares; A note on topological contact equivalence J. C. F.^ Costa; Bi-Lipschitz equivalence, integral closure and invariants Terence Gaffney; Solutions to PDEs and stratification conditions Terence Gaffney; Real integral closure and Milnor fibrations Terence Gaffney and R. N. Araújo dos Santos; Surfaces around closed principal curvature lines, an inverse problem R. Garcia, L. F. Mello and J. Sotomayor; Euler characteristics and atypical values Helmut A. Hamm; Answer to a question of Zariski A. Hefez and M. E. Hernandes; Projections of timelike surfaces in the de Sitter space Shyuichi Izumiya and Farid Tari; Spacelike submanifolds of codimension at most two in de Sitter space M. Kasedou; The geometry of Hopf and saddle-node bifurcations for waves of Hodgkin-Huxley type Isabel S. Labouriau and Paulo R. F. Pinto; Global classifications and graphs J. Marti;nez-Alfaro, C. Mendes de Jesus and M. C. Romero-Fuster; Real analytic Milnor fibrations and a strong Lojasiewicz inequality David B.^ ^^ Massey; An estimate of the degree of L-determinacy by the degree of A-determinacy for curve germs T. Nishimura; Regularity of the transverse intersection of two regular stratifications Patrice Orro and David Trotman; Pairs of foliations on surfaces Farid Tari; Bi-Lipschitz equisingularity David Trotman; Gaffney's work on equisingularity C. T. C. Wall; Singularities in algebraic data acquisition Y. Yomdin. ^^ "The biennial meetings at São Carlos have helped create a worldwide community of experts and young researchers working on singularity theory, with a special focus on applications to a wide variety of topics in both pure and applied mathematics. The tenth meeting, celebrating the 60th birthdays of Terence Gaffney and Maria Aparecida Soares Ruas, was a special occasion attracting the best known names in the area. This volume contains contributions by the attendees, including three articles written or co-authored by Gaffney himself, and survey articles on the existence of Milnor fibrations, global classifications and graphs, pairs of foliations on surfaces, and Gaffney's work on equisingularity"-- "This book is a selection of papers submitted for the proceedings of the 10th Workshop on Real and Complex Singularities. They are grouped into three categories: singularity theory (7 papers), singular varieties (8 papers) and applications to dynamical systems, generic geometry, singular foliations etc (10 papers). Among them, four are survey papers: Local Euler Obstruction, Old and New, II, by N. G. Grulha Jr. and J.-P. Brasselet, Global classifications and graphs, by J. Martinez-Alfaro, C. Mendes de Jesus and M. C. Romero-Fuster, Pairs of foliations on surfaces, by F. Tari, Gaffney's work on equisingularity, by C. T. C. Wall"-- "The biennial meetings at São Carlos have helped create a worldwide community of experts and young researchers working on singularity theory, with a special focus on applications to a wide variety of topics in both pure and applied mathematics. The tenth meeting, celebrating the 60th birthdays of Terence Gaffney and Maria Aparecida Soares Ruas, was a special occasion attracting the best known names in the area. This volume contains contributions by the attendees, including three articles written or co-authored by Gaffney himself, and survey articles on the existence of Milnor fibrations, global classifications and graphs, pairs of foliations on surfaces, and Gaffney's work on equisingularity"-- Résumé de l'éditeur The biennial meetings at São Carlos have helped create a worldwide community of experts and young researchers working on singularity theory, with a special focus on applications to topics in both pure and applied mathematics. This volume brings together surveys and recent work from the tenth São Carlos meeting. The biennial meetings at Sao Carlos have helped create a worldwide community of experts and young researchers working on singularity theory, with a special focus on applications to topics in both pure and applied mathematics. This volume brings together surveys and recent work from the tenth Sao Carlos meeting.