De Rham cohomology and applications

• Grant number: 21/14360-5
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: February 01, 2022
• End date: December 31, 2022
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Fernando Manfio
• Grantee: Nícolas Roberto Ribeiro Caballero
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

The aim of this project is to develop a study on the de Rham Cohomology in differentiable manifolds, and a study about harmonic forms and the theorem of Hodge.(AU)