Mathematical foundations of Einstein-Yang-Mills theory

• Grant number: 24/08059-9
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: September 01, 2024
• End date: July 31, 2025
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Eder de Moraes Correa
• Grantee: Lucas Soares de Paula
• 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 student to the foundations of the Einstein-Yang-Mills theory. By the end of the project, the student is expected to have acquired a solid foundation in Riemannian submersion theory and Yang-Mills theory, with a view to applying this knowledge in the study of research topics in differential geometry, with emphasis on the construction of special geometric structures.