Geometry of differential forms , vector bundles and features classes

• Grant number: 16/18582-4
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: November 01, 2016
• End date: June 30, 2017
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Barbara Corominas Valerio
• Grantee: Carlos Henrique Silva Alcantara
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

Study of some advanced topics of differential geometry: Frobenius theorem, Stokes theorem, Rham 's Theorem and applications, vector bundles, Pontrjagin, Chern and Euler classes, a generalization of the theoremGauss- Bonnet, classification of features classes and applications.