An introduction to singularity theory

• Grant number: 15/02102-0
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: April 01, 2015
• End date: December 31, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Luciana de Fátima Martins
• Grantee: Samuel Paulino dos Santos
• 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 his 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, Mather groups, extended tangence space, codimension of a germ.