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Characteristic classes and Thom polynomials in counting singularities

Grant number: 23/03086-5
Support Opportunities:Scholarships abroad - Research Internship - Doctorate
Effective date (Start): September 01, 2023
Effective date (End): August 31, 2024
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal Investigator:Maria Aparecida Soares Ruas
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
Research place: Waseda University, Japan  
Associated to the scholarship:20/14442-9 - Topology of polynomial mappings and Thom polynomials, BP.DR


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)

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