Topology of polynomial mappings and Thom polynomials

• Grant number: 20/14442-9
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: April 01, 2021
• End date: March 31, 2026
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Nivaldo de Góes Grulha Júnior
• Grantee: João Vítor Pissolato
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated research grant: 19/21181-0 - New frontiers in Singularity Theory, AP.TEM
• Associated scholarship(s): 23/03086-5 - Characteristic classes and Thom polynomials in counting singularities, BE.EP.DR

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 questions that generalize classical enumerative problems in Singularity Theory. (AU)