Singularities of maps, characteristic classes, and intersection homology

• Grant number: 23/01649-2
• Support Opportunities: Scholarships abroad - Research
• Start date: November 01, 2023
• End date: July 31, 2024
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Nivaldo de Góes Grulha Júnior
• Grantee: Nivaldo de Góes Grulha Júnior
• Host Investigator: Juan Jose Nuño Ballesteros
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Institution abroad: Universitat de València, Spain
• Associated research grant: 19/21181-0 - New frontiers in Singularity Theory, AP.TEM

Abstract

The study of Characteristic Classes of singular spaces is a current theme, which has been widely used in several areas of science. The objective of this project is to study Schwartz-MacPherson classes through the bias of classical Singularity Theory and intersection homology, which will provide an appropriate tool for the development of questions that generalize classical problems in Singularity Theory and Algebraic Topology. (AU)