Algebraic topology via problems

• Grant number: 21/07190-6
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: August 01, 2021
• End date: December 31, 2021
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Marcos Benevenuto Jardim
• Grantee: Bernardo Santos Vieira
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated research grant: 18/21391-1 - Gauge theory and algebraic geometry, AP.TEM

Abstract

The project has the aim to familiarize the student with the basic tools of algebraic topology through problems. To do that we will study the following problems: The relation between the fundamental group and the first homology group, fixed-point theorems, the Jordan Curve theorem and the Classification of Surfaces. (AU)