Arithmetic geometry lies in the intersection of number theory and algebraic geometry. It involves studying geometric objects such as curves or varieties through an arithmetic lens, e.g. via their rational points. As a research area, it dates back to classical questions such as those in Diophantine geometry, and yet continues to develop rapidly in the modern mathematical context. It is wide in scope, using a variety of techniques from algebraic geometry, algebraic and analytic number theory, and computational mathematics.

This CIMPA school intends to provide exposure to a broad collection of topics in arithmetic geometry, combining classical questions and techniques with modern developments in its research. We hope to provide a bridge for students with some background in algebra and number theory to topics of active research. As such, each course will have an introductory component, followed by interactive discussions and problem sessions for the students to get more comfortable with the material, and then cross over to more advanced material. The lectures will also be arranged so as to build on each other.