Introduction to algebraic Geometry techniques

• Grant number: 13/22978-2
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: January 01, 2014
• End date: December 31, 2014
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Rafael de Freitas Leão
• Grantee: Victor Do Valle Pretti
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

In this work we intend that the studend initiate the study of algebraic geometry techniques. For this the student should study the theory of sheaves and cohomology of sheaves, paying particular attention to how these concepts appear naturally in classical problems of differential geometry and algebraic topology.