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The Chabauty-Coleman-Kim Method: From Theory to Practice - Lecture 2

Offered By: International Centre for Theoretical Sciences via YouTube

Tags

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

Course Description

Overview

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Explore the advanced concepts of the Chabauty-Coleman-Kim Method in this comprehensive lecture, the second in a series delivered by Netan Dogra at the International Centre for Theoretical Sciences. Delve into the theoretical foundations and practical applications of this powerful technique used in arithmetic geometry to study 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. Learn about the computational aspects involved in determining K-rational points on modular curves XH(K) for various fields and subgroups. This nearly two-hour lecture is part of a broader program on Rational Points on Modular Curves, designed to bridge advanced topics with concrete examples and foster collaboration among experts in the field.

Syllabus

The Chabauty-Coleman-Kim Method: from Theory to Practice (Lecture 2) by Netan Dogra


Taught by

International Centre for Theoretical Sciences

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