Moduli spaces of vector bundles on projective varieties

• Grant number: 16/02067-3
• Support type: Scholarships in Brazil - Scientific Initiation
• Effective date (Start): May 01, 2016
• Effective date (End): November 30, 2016
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal researcher: Kostiantyn Iusenko
• Grantee: Marcos Alexandre Laudelino Orseli
• Home Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

This project aims to introduce the student with basic concepts about projective varieties, vector bundles on projective varieties, moduli spaces and the basic methods of representation theory (of quivers and posets) to study some moduli problems in algebraic geometry.