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Rational Points on Modular Curves - Lecture 3

Offered By: International Centre for Theoretical Sciences via YouTube

Tags

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

Course Description

Overview

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Explore the third 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, designed to benefit both experienced researchers and young mathematicians in the field of arithmetic geometry.

Syllabus

Rational Points on Modular Curves (Lecture 3) by Jan Vonk


Taught by

International Centre for Theoretical Sciences

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