YoVDO

Arakelov Self-Intersection Number on Modular Curves by Priyanka Mazumdar

Offered By: International Centre for Theoretical Sciences via YouTube

Tags

Modular Curves Courses Arithmetic Geometry Courses 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 concept of Arakelov self-intersection numbers on modular curves in this 27-minute lecture by Priyanka Mazumdar from the International Centre for Theoretical Sciences. Delve into advanced topics in arithmetic geometry as part of the "Rational Points on Modular Curves" program. Gain insights into the theoretical aspects of modular curves, their relationship to elliptic curves and modular forms, and their significance in studying rational points on varieties. Learn about the geometry of modular curves, Q-rational points, and both classical and non-abelian Chabauty methods. Discover how this research contributes to the broader field of arithmetic geometry and its applications in number theory.

Syllabus

Arakelov Self-intersection Number on Modular Curves by Priyanka Mazumdar


Taught by

International Centre for Theoretical Sciences

Related Courses

Classical and Quadratic Chabauty - Lecture 3
International Centre for Theoretical Sciences via YouTube
Classical and Quadratic Chabauty - Lecture 3
International Centre for Theoretical Sciences via YouTube
Conjectural Asymptotics of Prime Orders of Points on Elliptic Curves Over Number
International Centre for Theoretical Sciences via YouTube
Automorphic Lefschetz Properties and L-Values
International Centre for Theoretical Sciences via YouTube
On the Harris-Venkatesh Conjecture by Loic Merel
International Centre for Theoretical Sciences via YouTube