YoVDO

The Chabauty-Coleman-Kim Method: From Theory to Practice - Lecture 2

Offered By: International Centre for Theoretical Sciences via YouTube

Tags

Number Theory Courses Elliptic Curves Courses Algebraic Geometry Courses Arithmetic Geometry Courses Galois Representations Courses Modular Curves Courses Rational Points Courses p-adic Analysis Courses

Course Description

Overview

Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only!
Explore the advanced concepts of the Chabauty-Coleman-Kim Method in this comprehensive lecture, the second in a series delivered by Netan Dogra at the International Centre for Theoretical Sciences. Delve into the theoretical foundations and practical applications of this powerful technique used in arithmetic geometry to study rational points on modular curves. Gain insights into the geometry of modular curves, their Q-rational points, and both classical and non-abelian Chabauty methods. Learn about the computational aspects involved in determining K-rational points on modular curves XH(K) for various fields and subgroups. This nearly two-hour lecture is part of a broader program on Rational Points on Modular Curves, designed to bridge advanced topics with concrete examples and foster collaboration among experts in the field.

Syllabus

The Chabauty-Coleman-Kim Method: from Theory to Practice (Lecture 2) by Netan Dogra


Taught by

International Centre for Theoretical Sciences

Related Courses

Olivier Wittenberg- Some Aspects of Rational Points and Rational Curves
International Mathematical Union via YouTube
The Number of Rational Points on a Curve of Genus at Least Two
International Mathematical Union via YouTube
Roger Heath Brown - The Determinant Method, Lecture III
Hausdorff Center for Mathematics via YouTube
AGRA IV - Diophantine Equations with Few Solutions - Lecture 5
ICTP Mathematics via YouTube
Ecuaciones Diofantinas con Pocas Soluciones - Lecture 3
ICTP Mathematics via YouTube