An introduction to Ergodic Theory with applications to algebra and number theory

• Grant number: 22/13329-0
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: December 01, 2022
• End date: November 30, 2023
• Field of knowledge: Physical Sciences and Mathematics - Mathematics
• Principal Investigator: Gabriel Ponce
• Grantee: Gabriel Cruz Vitale Torkomian
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

The main objective of this project is to provide a strong mathematical foundation to the student, through the development of measure theory and principles of ergodic theory, such as the main properties related to mixing properties, transfer operators and some applications of ergodic theory to algebraic systems.