Group Theory and Bezout's theorem for curves

• Grant number: 20/10831-0
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: January 01, 2021
• End date: December 31, 2021
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Eduardo do Nascimento Marcos
• Grantee: Danielle Velloso Ferreira
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 18/23690-6 - Structures, representations, and applications of algebraic systems, AP.TEM

Abstract

As an introduction to the abstract algebra we will start our project by looking at the fundaments of elementary group theory towards the Sylow Theorem. In the second semester we will start the study of Algebraica Geometry, e we will study all the pre-requisits to understand Bezout's theorem for algebraic Curves.