Introduction to Geometric Group Theory

• Grant number: 24/00439-7
• Support Opportunities: Scholarships abroad - Research Internship - Scientific Initiation
• Start date: May 01, 2024
• End date: May 31, 2024
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Thaís Fernanda Mendes Monis
• Grantee: Gabriel Cassimiro Pereira
• Supervisor: Paula Macedo Lins de Araujo
• Host Institution: Instituto de Geociências e Ciências Exatas (IGCE). Universidade Estadual Paulista (UNESP). Campus de Rio Claro. Rio Claro , SP, Brazil
• Institution abroad: University of Lincoln, England
• Associated to the scholarship: 22/11324-0 - The classification of surfaces, BP.IC

Abstract

In this exchange program, connected to the scientific initiation project currently being developed by the student, we propose an immersion in basic ideas of geometric group theory, focusing on topics such as Cayley graphs and group actions, to provide the student with a broader view of the connections between geometry and algebra.