YoVDO

Introduction to Modular Forms, Elliptic Curves, and Modular Curves - Lecture 1

Offered By: International Centre for Theoretical Sciences via YouTube

Tags

Number Theory Courses Elliptic Curves Courses Algebraic Geometry Courses Modular Forms Courses Moduli Space Courses Arithmetic Geometry Courses Modular Curves Courses Rational Points Courses Chabauty Methods Courses

Course Description

Overview

Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only!
Dive into the first lecture of a comprehensive series on modular forms, elliptic curves, and modular curves presented by Eknath Ghate at the International Centre for Theoretical Sciences. Explore the fundamental concepts of arithmetic geometry in this 1 hour and 32 minute session, part of the "Rational Points on Modular Curves" program. Gain insights into the intricate relationships between these central objects of arithmetic geometry, setting the foundation for understanding their role in the study of rational points on varieties. Discover how modular curves serve as moduli spaces for elliptic curves with additional level structures, and prepare for an advanced journey into both theoretical and computational aspects of determining K-rational points on modular curves for various fields and subgroups.

Syllabus

Introduction to Modular Forms, Elliptic Curves, and Modular Curves (Lecture 1) by Eknath Ghate


Taught by

International Centre for Theoretical Sciences

Related Courses

Randomness in Number Theory
Simons Institute via YouTube
The Unbounded Denominators Conjecture - Yunqing Tang
Institute for Advanced Study via YouTube
An Interview with Neal Koblitz - Elliptic Curve Cryptography and Beyond
Bill Buchanan OBE via YouTube
Symmetry, Almost
Joint Mathematics Meetings via YouTube
Quantum Complexity and L-functions
Fields Institute via YouTube