The Principle of Quadratic Chabauty and Nonsplit Cartan Modular Curves
Offered By: International Centre for Theoretical Sciences via YouTube
Course Description
Overview
Explore the advanced mathematical concept of quadratic Chabauty and its application to nonsplit Cartan modular curves in this lecture by Samuel Le Fourn. Delve into the intricate world of arithmetic geometry, focusing on the study of rational points on modular curves. Gain insights into the theoretical and computational aspects of determining K-rational points on modular curves XH(K) for various fields and subgroups. Examine the geometry of modular curves, their Q-rational points, and both classical and non-abelian Chabauty methods. Discover how this principle contributes to the broader field of rational points on varieties, a topic of special interest to arithmetic geometers.
Syllabus
The Principle of Quadratic Chabauty and Nonsplit Cartan Modular Curves by Samuel Le Fourn
Taught by
International Centre for Theoretical Sciences
Related Courses
Randomness in Number TheorySimons Institute via YouTube The Unbounded Denominators Conjecture - Yunqing Tang
Institute for Advanced Study via YouTube An Interview with Neal Koblitz - Elliptic Curve Cryptography and Beyond
Bill Buchanan OBE via YouTube Symmetry, Almost
Joint Mathematics Meetings via YouTube Quantum Complexity and L-functions
Fields Institute via YouTube