Conformal geometry and complex one-dimensional dynamical systems

• Grant number: 18/09974-1
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: August 01, 2018
• End date: July 31, 2019
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Daniel Smania Brandão
• Grantee: Felipe César Freitas Monteiro
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated research grant: 17/06463-3 - Probabilistic and algebraic aspects of smooth dynamical systems, AP.TEM

Abstract

This project introduces the student to the theory of one-dimensional complex dynamical systems using various mathematical tools, specially the theory of conformal Geometry of Riemann surfaces.