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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, 2022
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)