Characteristic classes and Thom polynomials in counting singularities

• Grant number: 23/03086-5
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate
• Start date: September 01, 2023
• End date: August 31, 2024
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Nivaldo de Góes Grulha Júnior
• Grantee: João Vítor Pissolato
• Supervisor: Toru Ohmoto
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Institution abroad: Waseda University, Japan
• Associated to the scholarship: 20/14442-9 - Topology of polynomial mappings and Thom polynomials, BP.DR

Abstract

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