A Chabauty-Coleman-Caro-Pasten Bound in Higher Dimensions by Netan Dogra

Explore a lecture on advanced mathematical concepts in arithmetic geometry, focusing on the Chabauty--Coleman--Caro--Pasten bound in higher dimensions. Delve into the study of rational points on varieties, particularly modular curves, as part of a comprehensive program on Rational Points on Modular Curves. Gain insights into elliptic curves, modular forms, and modular curves as central objects in arithmetic geometry. Learn about theoretical and computational aspects of determining K-rational points on modular curves XH(K) for various fields and subgroups. Discover advanced techniques such as classical and non-abelian Chabauty methods, and their applications in solving complex mathematical problems. Benefit from the expertise of Netan Dogra in this hour-long presentation, which is part of a broader program organized by the International Centre for Theoretical Sciences, featuring a balance of advanced topics and practical examples in the field of arithmetic geometry.

A Chabauty--Coleman--Caro--Pasten Bound in Higher Dimensions by Netan Dogra