Dynamics of Fuchsians groups

• Grant number: 07/08114-4
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: March 01, 2008
• End date: February 28, 2009
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Edson Vargas
• Grantee: Tiago Pinheiro Ursulino
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 06/03829-2 - Dynamic in low dimensions, AP.TEM

Abstract

Basic properties of transformations of Mobius and hyperbolic plane are the starting point of this project. The main goal for the first year is the study of limit sets and fundamental domains for Fuchsians groups acting on the hyperbolic plan. In the future, a second year of the project, the actual subject will be related to relativity theory of Physics.