An introduction to Global Analysis

• Grant number: 24/07965-6
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: September 01, 2024
• End date: August 31, 2025
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Diego Sebastian Ledesma
• Grantee: Mauro de Andrade Pinto
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

This project aims to introduce the candidate to the world of differential forms and, at the same time, cover topics in analysis and differential geometry, leaving the door open to applications in mathematical physics, for which these forms are particularly relevant. The idea is to start with the basic concepts and examples of the theory and progress, as the studies go deeper, to the treatment of more elaborate questions and more interesting and difficult topics.