Introduction to the center problem and cyclicity problem in the class of the polinomial differential systems

• Grant number: 22/02210-1
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: April 01, 2022
• End date: July 31, 2023
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Regilene Delazari dos Santos Oliveira
• Grantee: Luana Ascoli
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated research grant: 19/21181-0 - New frontiers in Singularity Theory, AP.TEM

Abstract

The objective of this project is to introduce a undergraduate student in Mathematics to the central problem and the cyclicity problem for planar polynomial differential systems. The main idea is that the student has the first contact with the basic tools and results of the subject, as to introduce her to the computational tools available for this kind of investigation.(AU)