Rigidity and foliations in dynamical systems

• Grant number: 14/11962-0
• Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
• Start date: January 14, 2015
• End date: January 13, 2016
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Ali Tahzibi
• Grantee: Pablo Daniel Carrasco Correa
• Supervisor: Federico Juan Rodriguez Hertz
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Institution abroad: Pennsylvania State University, United States
• Associated to the scholarship: 13/16226-8 - Research project: rigidity and foliations in dynamical systems, BP.PD

Abstract

This research project consists of studying the possible rigidity properties for abelian pseudo-groups, in particular for those which arise as the holonomy pseudo-group of foliations. We are studying the possibility of extending some of the techniques used by Kalinin, Katok and Rodriguez-Hertz (among others) to study rigidity properties of higher rank abelian actions. Some applications to partially hyperbolic dynamics are also considered. (AU)