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Geometry of differential forms , vector bundles and features classes

Grant number: 16/18582-4
Support type:Scholarships in Brazil - Scientific Initiation
Effective date (Start): November 01, 2016
Effective date (End): June 30, 2017
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal researcher:Barbara Corominas Valerio
Grantee:Carlos Henrique Silva Alcantara
Home 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.

News published in Agência FAPESP Newsletter about the scholarship: