The equivariant problem of the preimage of complements of configuration-like spaces and applications

• Grant number: 24/17760-2
• Support Opportunities: Regular Research Grants
• Start date: March 01, 2025
• End date: February 28, 2027
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Thaís Fernanda Mendes Monis
• Grantee: Thaís Fernanda Mendes Monis
• Host Institution: Instituto de Geociências e Ciências Exatas (IGCE). Universidade Estadual Paulista (UNESP). Campus de Rio Claro. Rio Claro , SP, Brazil

Abstract

This project aims to develop a Nielsen-Borsuk-Ulam theory for actions of finite groups, based on the theory of equivariant pre-images presented in Monis and Wong (2024). The research will apply this theory to complementary spaces of configuration-like spaces, focusing on new applications in the context of Nielsen-Borsuk-Ulam theory. (AU)