Classical and Quadratic Chabauty - Lecture 1

Explore the foundations of Classical and Quadratic Chabauty methods in this first lecture by Samuel Le Fourn, part of the "Rational Points on Modular Curves" program at the International Centre for Theoretical Sciences. Delve into advanced topics in arithmetic geometry, focusing on techniques for studying rational points on varieties, particularly modular curves. Gain insights into the geometry of modular curves, their Q-rational points, and both classical and non-abelian Chabauty methods. Benefit from a balanced approach that combines theoretical concepts with practical examples, making it suitable for researchers at various levels. Participate in this comprehensive program designed to foster collaboration among experts in arithmetic geometry and encourage the involvement of young researchers and underrepresented groups in the field.