Introduction to topology and geoometry of 3-manifolds

• Grant number: 21/06678-5
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: August 01, 2021
• End date: July 31, 2023
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: André Salles de Carvalho
• Grantee: Isabela Miki Suzuki
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 16/25053-8 - Dynamics and geometry in low dimensions, AP.TEM

Abstract

The project aims to study the topology and geometry of 3-manifolds, and is based on the notes ``Topology and Geometry of 3-manifolds: A Pleasant Introduction'', prepared by the advisor of this project in collaboration with Rafa B Siejakowski, from IME-USP, to accompany an introductory course of the same title at the 33rd. Brazilian Mathematics Colloquium. Topics to be discussed include inversive geometry, the 3-sphere, introduction to manifolds and geometric structures on 2- and 3-manifolds.