Integrable systems and symplectic geometry

• Grant number: 16/23624-8
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: April 01, 2017
• End date: March 31, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Cristián Andrés Ortiz González
• Grantee: Gustavo de Paula Ramos
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

This project studies the geometry of integrable systems and their relation with torus actions on symplectic manifolds. The main goal of the project consists on the study of the Arnold-Liouville Theorem and its applications to symplectic geometry and classical mechanics. (AU)