Diophantine Stability for Elliptic Curves on Average by Anwesh Ray

Explore a comprehensive lecture on Diophantine stability for elliptic curves on average, presented by Anwesh Ray at the International Centre for Theoretical Sciences. Delve into advanced topics in arithmetic geometry, focusing on the study of rational points on modular curves. Gain insights into the theoretical and computational aspects of determining K-rational points on modular curves XH(K) for various fields and subgroups. Examine the geometry of modular curves, their Q-rational points, and both classical and non-abelian Chabauty methods. Benefit from a balanced approach that combines advanced topics with practical examples, making this lecture suitable for researchers and students interested in elliptic curves, modular forms, and their applications in number theory.