Objetivo Around 1988 Teissier gave a description of the (multiscale) concentration of the curvature of the Milnor fiber f (Xo,...,Xn) = A of an isolated critical point of a complex analytic function f, as A -> O, in the case of plane branches. This metric phenomenon is governed entirely by the Puiseux exponent of the branch, and in turn allows one to recover the topological type of the branch from the multiscale analysis of the concentration of curvature. My research work is to extend this to the case of reducible plane curves, to connect explicitely the curvature concentration phenomenon to the embedded resolution diagram of the curve and with other aspects of the singularity theory of curves. This type of explicit relation between metric and topological aspects of singularity theory, and especially the dynamics, seems innovative and fruitful. The expected outcome is a much better understanding of the geometry of Milnor fibers and morsifications, in relation to the topology of the special fiber and also to its resolution of singularities. Ámbito científico ingeniería y tecnologíaingeniería de materialesfibrasciencias naturalesmatemáticasmatemáticas purastopologíaciencias naturalesmatemáticasmatemáticas purasgeometría Programa(s) FP4-TMR - Specific research and technological development programme in the field of the training and mobility of researchers, 1994-1998 Tema(s) 0302 - Post-doctoral research training grants TM22 - Geometry and Topology Convocatoria de propuestas Data not available Régimen de financiación RGI - Research grants (individual fellowships) Coordinador École Normale Supérieure Dirección 45 rue d'ulm 75230 Paris Francia Ver en el mapa Aportación de la UE Sin datos Participantes (1) Ordenar alfabéticamente Ordenar por aportación de la UE Ampliar todo Contraer todo Not available España Aportación de la UE € 0,00 Dirección Ver en el mapa Otras fuentes de financiación Sin datos
