Singularities of Hamiltonian Systems with constraints

• Grant number: 17/23555-9
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: May 01, 2018
• End date: April 30, 2021
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Marcelo Jose Saia
• Grantee: Konstantinos Kourliouros
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated research grant: 14/00304-2 - Singularities of differentiable mappings: theory and applications, AP.TEM

Abstract

In this research we will be interested in a series of related problems of singularity theory, coming from Mathematical Physics and in particular from the geometric theory of Hamiltonian Systems with constraints. These problems span from local analysis problems (classification of singularities, local normal forms) to algebraic problems (functional moduli and Poincare series of moduli numbers) which are intimately related with the intrinsic structure of the corresponding moduli spaces. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

KOURLIOUROS, KONSTANTINOS. Relative logarithmic cohomology and Nambu structures of maximal degree. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, v. 144, p. 250-268, DEC 2020. (17/23555-9)

KOURLIOUROS, KONSTANTINOS. Sections of Hamiltonian Systems. REGULAR & CHAOTIC DYNAMICS, v. 26, n. 4, p. 331-349, JUL 2021. (17/23555-9)

KOURLIOUROS, KONSTANTINOS. The Milnor-Palamodov Theorem for Functions on Isolated Hypersurface Singularities. BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, v. 52, n. 2, JUN 2020. (17/23555-9)