Introduction to the singularity theory of differentiable maps

• Grant number: 15/05380-1
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: May 01, 2015
• End date: April 30, 2016
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Luciana de Fátima Martins
• Grantee: Tawana Garcia Nunez
• Host Institution: Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil
• Associated research grant: 14/00304-2 - Singularities of differentiable mappings: theory and applications, AP.TEM

Abstract

This project has as a main objective to give a solid basis to the student to continue her studies in Singularity Theory. Topics for studies are fundamentals to the theory as: germs of differentiable maps in R and R2, maximal ideal, R-equivalene, the module E_n,p, extended tangence space, codimension of a germ, unfoldings, finite determination, application to the geometry.