Singularities of maps and characteristic classes

• Grant number: 19/02068-8
• Support type: Scholarships in Brazil - Doctorate
• Effective date (Start): April 01, 2019
• Effective date (End): March 31, 2023
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal researcher: Nivaldo de Góes Grulha Júnior
• Grantee: Amanda Monteiro
• Home Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated research grant: 14/00304-2 - Singularities of differentiable mappings: theory and applications, AP.TEM

Abstract

The study of characteristic classes of singular varieties is a current theme and has been widely used in several areas of Science. The aim of this project is to study Schwartz-MacPherson strands through the classical Singularity Theory bias. The central approach of the project is the use of Thom's polynomials, which will provide an appropriate tool for the development of issues that generalize classical enumerative problems in Singularity Theory. (AU)