Description
CAMBRIDGE Real and Complex Singularities 2010 Edition by M. Manoel, M. C. Romero Fuster, C. T. C. Wall
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 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. Table of contents :- 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-Hernandez; 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. Araujo dos Santos; Counting hypersurfaces invariant by one-dimensional complex foliations Mauricio Correa, Jr and Marcio 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. Araujo 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. Martinez-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.