Introduction to Measure Theory and applications to Von Neumann Theorem from Ergodic Theory

• Grant number: 23/00838-6
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: March 01, 2023
• End date: February 29, 2024
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Alex Carlucci Rezende
• Grantee: Gabriela Lye Watanabe
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil

Abstract

This project is proposed for a fourth-year Mathematics student, who has already taken basic and intermediate courses and has already completed two scientific initiation projects on Discrete Dynamical Systems and Metric Spaces and Introduction to Topology. The student is prepared to work with more advanced concepts involving Measure Theory and Ergodic Theory. This project aims to encourage the student to start studying in this area, covering all initial concepts and various applications.