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Integrable systems and symplectic geometry

Grant number: 16/23624-8
Support Opportunities:Scholarships in Brazil - Scientific Initiation
Effective date (Start): April 01, 2017
Effective date (End): 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)

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