Arakelov Self-Intersection Number on Modular Curves by Priyanka Mazumdar

Explore the concept of Arakelov self-intersection numbers on modular curves in this 27-minute lecture by Priyanka Mazumdar from the International Centre for Theoretical Sciences. Delve into advanced topics in arithmetic geometry as part of the "Rational Points on Modular Curves" program. Gain insights into the theoretical aspects of modular curves, their relationship to elliptic curves and modular forms, and their significance in studying rational points on varieties. Learn about the geometry of modular curves, Q-rational points, and both classical and non-abelian Chabauty methods. Discover how this research contributes to the broader field of arithmetic geometry and its applications in number theory.