On the Harris-Venkatesh Conjecture by Loic Merel

Explore a comprehensive lecture on the Harris-Venkatesh conjecture presented by Loic Merel as part of the "Rational Points on Modular Curves" program at the International Centre for Theoretical Sciences. Delve into this advanced topic in 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 learn about classical and non-abelian Chabauty methods. Benefit from a balanced approach that combines advanced topics with practical examples, making it suitable for both experienced researchers and young mathematicians in the field of arithmetic geometry.