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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)

News published in Agência FAPESP Newsletter about the scholarship:
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