Geometric Methods of Clifford Algebras and Applications in Physics

• Grant number: 23/14008-5
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: December 01, 2023
• End date: November 30, 2024
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Fernando Manfio
• Grantee: João Eduardo Cânovas Bottazzo Souza
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

The goal of this project is study on the concept of Clifford algebras, as well as related geometry and topology topics, in order to study some important applications in mathematical physics, such as the study of spinors, the formulation of theories of electromagnetism and special relativity, and a description of spin 1/2 particles.