Uniform Versions of Shafarevich Conjecture by Plawan Das

Explore a 54-minute lecture on "Uniform Versions of Shafarevich Conjecture" presented by Plawan Das at 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 study of rational points on varieties, with a focus on modular curves. Learn about elliptic curves, modular forms, and their significance in arithmetic geometry. Discover techniques for determining K-rational points on modular curves for various fields and subgroups. Engage with theoretical and computational aspects of this field, including geometry of modular curves, Q-rational points, and Chabauty methods. Suitable for researchers and advanced students in mathematics, this lecture contributes to a program designed to foster collaboration and advance research in arithmetic geometry.