Generic properties of diffeomorphisms in low dimensions

• Grant number: 07/03995-2
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: September 01, 2008
• End date: August 31, 2009
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Edson Vargas
• Grantee: Radu Saghin
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

We are interested on generic properties of certain low dimensional dynamical systems. For example, the relation between parcial and nonuniform hyperbolicity for diffeomorphisms on a generic set and the homology of invariant foliations for parcially hyperbolic diffeomorphisms are questions we plan to attack.