Computational Aspects of Nonabelian Chabauty - Lecture 1

Explore the computational aspects of nonabelian Chabauty methods in this lecture by Jennifer Balakrishnan, 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 the study of rational points on modular curves. Learn about the geometry of modular curves, their Q-rational points, and the application of classical and non-abelian Chabauty methods. Gain insights into the theoretical and computational techniques used to determine K-rational points on modular curves XH(K) for various fields K and subgroups H of GL2(Z/NZ). Suitable for researchers and graduate students interested in elliptic curves, modular forms, and their applications in number theory and algebraic geometry.