P-adic Adelic Metrics, P-adic Heights, and Rational Points on Curves by Padma Srinivasan

Explore the intricacies of P-adic adelic metrics, P-adic heights, and their applications to rational points on curves in this comprehensive lecture by Padma Srinivasan. Delivered as part of the "Rational Points on Modular Curves" program at the International Centre for Theoretical Sciences, this 1-hour 5-minute talk delves into advanced topics in arithmetic geometry. Gain insights into the theoretical foundations and computational aspects of determining rational points on modular curves, a central focus of the program. Discover how these concepts relate to elliptic curves, modular forms, and modular curves, which are fundamental objects in arithmetic geometry. Suitable for researchers and graduate students in mathematics, this lecture contributes to the program's goal of fostering collaboration and advancing research in the field of arithmetic geometry.