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Counting Rational Points on Modular Curves of Genus 0 Over Number Fields by Peter Bruin

Offered By: International Centre for Theoretical Sciences via YouTube

Tags

Modular Curves Courses Elliptic Curves Courses Modular Forms Courses Arithmetic Geometry Courses Rational Points Courses Chabauty Methods Courses

Course Description

Overview

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Explore the intricacies of counting rational points on modular curves of genus 0 over number fields in this comprehensive lecture by Peter Bruin. Delve into advanced topics in arithmetic geometry as part of the "Rational Points on Modular Curves" program organized by the International Centre for Theoretical Sciences. Learn about 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). Gain insights into the geometry of modular curves, Q-rational points, classical and non-abelian Chabauty methods, and related computational techniques. Benefit from this expert presentation that bridges advanced topics with practical examples, suitable for researchers and students interested in elliptic curves, modular forms, and modular curves in the field of arithmetic geometry.

Syllabus

Counting Rational Points on Modular Curves of Genus 0 Over Mumber Fields by Peter Bruin


Taught by

International Centre for Theoretical Sciences

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