Introduction to Algebraic Geometry.

• Grant number: 23/08173-3
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: August 01, 2023
• End date: July 31, 2024
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Fabio Ferrari Ruffino
• Grantee: Lucas Novo da Silva
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil

Abstract

This project aims to study the geometry of algebraic varieties (in particular, affine and projective). Moreover, the candidate will be introduced to Grothendieck's scheme theory. To these ends, category and (pre-)sheaf theories will be used as part of the fundamental language.