The Chabauty-Coleman-Kim Method: From Theory to Practice - Lecture 3

Explore the advanced mathematical concepts of the Chabauty-Coleman-Kim Method in this third lecture of a series delivered by Netan Dogra at the International Centre for Theoretical Sciences. Delve into the theoretical foundations and practical applications of this method, which is crucial for studying rational points on modular curves. Learn about the intersection of elliptic curves, modular forms, and modular curves in arithmetic geometry. Gain insights into determining K-rational points on modular curves XH(K) for various fields and subgroups. This 1 hour and 51 minute lecture is part of a comprehensive program on Rational Points on Modular Curves, designed to balance advanced topics with concrete examples for researchers and students in the field of arithmetic geometry.