Introduction to Modular Forms, Elliptic Curves, and Modular Curves - Lecture 3

Delve into the third lecture of an advanced series on modular forms, elliptic curves, and modular curves presented by Eknath Ghate at the International Centre for Theoretical Sciences. Explore key concepts in arithmetic geometry over the course of 90 minutes, focusing on the intricate relationships between these fundamental mathematical objects. Gain insights into the theoretical foundations and applications of modular forms and their connections to elliptic curves and modular curves. Enhance your understanding of these central topics in number theory and algebraic geometry, building upon the knowledge from previous lectures in the series. Engage with complex mathematical ideas presented by an expert in the field as part of a comprehensive program on rational points on modular curves, designed for advanced students and researchers in mathematics.