Topics in algebraic topology and applications

• Grant number: 18/01107-7
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: April 01, 2018
• End date: March 31, 2020
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Alice Kimie Miwa Libardi
• Grantee: Pedro Henrique Muller Bortolucci
• Host Institution: Instituto de Geociências e Ciências Exatas (IGCE). Universidade Estadual Paulista (UNESP). Campus de Rio Claro. Rio Claro , SP, Brazil

Abstract

The main goal of this project is to prepare the student to a graduate course in Mathematics. He will study basic topics in Algebraic Topology, particularly fundamental groups, Singular Homology theory, Orientation of Manifolds, Singular Cohomology Theory, Cup and Cap Products and Poincaré Duality. (AU)