Description

Surveys and articles on recent developments in pure and applied singularity theory. 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 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 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. 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. Martínez-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