Limits of dynamical systems

• Grant number: 15/15088-6
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: November 01, 2015
• End date: November 15, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: André Salles de Carvalho
• Grantee: André Salles de Carvalho
• Visiting researcher: John Hamal Hubbard
• Visiting researcher institution: Cornell University, United States
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 11/16265-8 - Low dimensional dynamics, AP.TEM

Abstract

We plan to study limits of dynamical systems from different, but closely related, points of view: holomorphic dybamics in one variable, Kleinian and Fuchsian groups and dynamics of surface homeomorphisms. These subjects are closely related to 3-dimensional hyperbolic geometry and to explore this relationship is also an important part of the project. (AU)