Homotopy classes of maps and minimal models for roots.

• Grant number: 22/16430-3
• Support Opportunities: Scholarships in Brazil - Master
• Start date: June 01, 2023
• End date: February 28, 2025
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Oziride Manzoli Neto
• Grantee: Gustavo Luciano de Souza
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated research grant: 16/24707-4 - Algebraic, geometric and differential topology, AP.TEM

Abstract

In this project we intend to study issues related to degree theory and minimization of the root set, in particular we intend a careful study of applications of any surface in the space described as the wedge of the two-dimensional sphere with the circle