Topological methods and dynamics in dimension 2

• Grant number: 16/06262-5
• Support Opportunities: Scholarships abroad - Research
• Start date: January 02, 2017
• End date: January 01, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Fábio Armando Tal
• Grantee: Fábio Armando Tal
• Host Investigator: Tobias Jaeger
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Institution abroad: Friedrich Schiller University Jena, Germany
• Associated research grant: 11/16265-8 - Low dimensional dynamics, AP.TEM

Abstract

This project intends to study the topological aspects of two-dimensional dynamical systems, in light of the recently developed tools. Our main goal is to characterize surface homeomorphisms with null topological entropy, the transition to Chaos in families of dissipative plane diffeomorphisms and the restrictions to rotation sets of homeomorphisms of closed surfaces in the homotopy class of the identity. (AU)