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Hodge theory: De Rham cohomology and an introduction to Complex Geometry

Grant number: 14/06913-0
Support Opportunities:Scholarships in Brazil - Scientific Initiation
Effective date (Start): August 01, 2014
Effective date (End): July 31, 2015
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal Investigator:Henrique Nogueira de Sá Earp
Grantee:Leonardo Francisco Cavenaghi
Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil


The objective of project is to formulate and prove the Hodge theorem. Discussed topics include differentiable manifolds, the de Rham cohomology, integration of forms, forms on manifolds, Laplace operators and a brief introduction to Kahler manifolds. (AU)

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