Rational Points on Modular Curves by Jan Vonk
Offered By: International Centre for Theoretical Sciences via YouTube
Course Description
Overview
Explore the fourth lecture in a series on Rational Points on Modular Curves, delivered by Jan Vonk at the International Centre for Theoretical Sciences. Delve into advanced topics in arithmetic geometry, focusing on the study of 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. Discover the theoretical and computational aspects of determining K-rational points on modular curves XH(K) for various fields K and subgroups H of GL2(Z/NZ). Engage with a balanced presentation of advanced concepts and practical examples in this 1 hour and 34 minute lecture, part of a comprehensive program designed to foster collaboration among experts and encourage participation from young researchers in the field of arithmetic geometry.
Syllabus
Rational Points on Modular Curves (Lecture 4) by Jan Vonk
Taught by
International Centre for Theoretical Sciences
Related Courses
The Glamorous VarietyFields Institute via YouTube Some Differential Operators on the Modular Curves with Infinite Level at P and Applications
Fields Institute via YouTube Hecke Actions on Loops and Periods of Iterated Shimura Integrals
IMSA via YouTube Computational Aspects of Nonabelian Chabauty - Lecture 1
International Centre for Theoretical Sciences via YouTube The Chabauty-Coleman-Kim Method: From Theory to Practice - Lecture 1
International Centre for Theoretical Sciences via YouTube