YoVDO

Conjectural Asymptotics of Prime Orders of Points on Elliptic Curves Over Number

Offered By: International Centre for Theoretical Sciences via YouTube

Tags

Arithmetic 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 conjectural asymptotics of prime orders of points on elliptic curves over number fields in this comprehensive lecture by Michael Stoll. Delivered as part of the "Rational Points on Modular Curves" program at the International Centre for Theoretical Sciences, this 1-hour 13-minute talk delves into advanced topics in arithmetic geometry. Gain insights into the theoretical aspects of elliptic curves, modular forms, and modular curves, which are central objects in this field. Learn about the study of rational points on varieties and the techniques used to determine their existence and properties. Discover the program's focus on understanding both theoretical and computational aspects of determining K-rational points on modular curves XH(K) for various fields and subgroups. This lecture is part of a broader initiative to bring together experts in arithmetic geometry, fostering idea exchange and promoting future research in this direction.

Syllabus

Conjectural Asymptotics of Prime Orders of Points on Elliptic Curves Over Number...by Michael Stoll


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