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Singularities of maps, characteristic classes and polynomials of Thom

Grant number: 19/11654-8
Support type:Scholarships in Brazil - Master
Effective date (Start): September 01, 2019
Effective date (End): February 28, 2021
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal researcher:Nivaldo de Góes Grulha Júnior
Grantee:João Vítor Pissolato
Home Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

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