Equisingularity and invariants associated to the topology of functions with non-isolated singularity

• Grant number: 22/06968-6
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: July 01, 2022
• End date: February 28, 2023
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Maria Aparecida Soares Ruas
• Grantee: Hellen Monção de Carvalho Santana
• 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

Abstract

In this project, we propose to study the topology of complex functions with non-isolated singularity defined on a singular variety by using numerical invariants associated to them. We aim to analyse the constancy of these invariants over families of deformations of varieties and of functions and to search for applications for the obtained informations on classes of complete intersections, determinantal and toric varieties.