A Simple Dichotomy in Serre's Uniformity Question by Davide Lombardo

Explore a comprehensive lecture on Serre's Uniformity Question in arithmetic geometry, focusing on a simple dichotomy presented by Davide Lombardo at the International Centre for Theoretical Sciences. Delve into the study of rational points on modular curves, a key topic in arithmetic geometry, as part of a broader program on "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 both classical and non-abelian Chabauty methods. Benefit from an advanced introduction to the field, balancing complex topics with practical examples, and engage with experts from around the world in this cutting-edge area of mathematical research.