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Introduction to the applications of algebraic topology in physics

Grant number: 16/06553-0
Support type:Scholarships in Brazil - Scientific Initiation
Effective date (Start): June 01, 2016
Effective date (End): May 31, 2018
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Applied Mathematics
Principal Investigator:Fabio Ferrari Ruffino
Grantee:Murilo Barbosa Alves
Home Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil
Associated research grant:14/03721-3 - Differential homology and cohomology, gerbes and applications, AP.JP

Abstract

In the previous project, the candidate Murilo studied the rigorous geometrical foundations of analytical mechanics, in particular about the Lagrangian and Hamiltonian formulation of classical mechanics. With the project under submission we would like to keep on studying the foundations of classical physics, investigating the applications of algebraic topology to electromagnetism. Moreover, we will deal with some modern developments of such a topic, about the Aharonov-Bohm effect and the semi-classical description of D-branes in string theory. (AU)