Categories and applications on Algebraic Geometry and Algebraic Topology

• Grant number: 22/15788-1
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: January 01, 2023
• End date: December 31, 2023
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Marcos Benevenuto Jardim
• Grantee: Diana Hernandes Arriel
• 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

This project has the aim to study Category Theory and its applications to Algebraic Geometry and Algebraic Topology. Many of these applications can be seen as examples of more general concepts in Category Theory, enhancing the advantages of its introduction.