Moduli spaces of vector bundles on projective varieties

• Grant number: 16/02067-3
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: May 01, 2016
• End date: November 30, 2016
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Kostiantyn Iusenko
• Grantee: Marcos Alexandre Laudelino Orseli
• Host 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.