YoVDO

Arithmetic Field Theory for Elliptic Curves by Minhyong Kim

Offered By: International Centre for Theoretical Sciences via YouTube

Tags

Arithmetic Geometry Courses Geometry Courses Modular Curves Courses Rational Points Courses Q-rational Points Courses Chabauty Methods Courses

Course Description

Overview

Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only!
Explore the intricacies of arithmetic field theory for elliptic curves in this comprehensive lecture by Minhyong Kim. Delve into the fascinating world of rational points on modular curves, a key area of interest for arithmetic geometers. Gain advanced insights into the geometry of modular curves, their Q-rational points, and both classical and non-abelian Chabauty methods. Learn about the theoretical and computational aspects of determining K-rational points on modular curves XH(K) for various fields and subgroups. Discover the connections between elliptic curves, modular forms, and modular curves as central objects in arithmetic geometry. Benefit from a balanced approach that covers both advanced topics and practical examples, making this lecture suitable for researchers at various levels of expertise.

Syllabus

Arithmetic Field Theory for Elliptic Curves by Minhyong Kim


Taught by

International Centre for Theoretical Sciences

Related Courses

Intro to Physics
Udacity
College Readiness Math MOOC
University of Wisconsin–La Crosse via Desire2Learn
Matemáticas y Movimiento
Tecnológico de Monterrey via Coursera
Mathe-MOOC: Mathematisch denken!
iversity
Introduzione alla matematica per l'università: Pre-Calculus
Politecnico di Milano via Polimi OPEN KNOWLEDGE