Introduction to Fractal Geometry

• Grant number: 23/08171-0
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: August 01, 2023
• End date: July 31, 2024
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Fernando Manfio
• Grantee: Gabriel Balbão Bazon
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

The main aim of this project is to develop a first study on fractal geometry from an approach of topology and dynamic systems, creating a basis for the development of contemporary research on the subject, such as Fractal Analysis and Theory of Self-Similar Groups.