Automorphic Lefschetz Properties and L-Values

Explore the intricate connections between automorphic Lefschetz properties and L-values in this comprehensive lecture by Arvind Nair from TIFR, Mumbai, India. 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. Gain insights into the study of rational points on varieties, with a focus on modular curves. Examine the theoretical and computational aspects of determining K-rational points on modular curves XH(K) for various fields and subgroups. Discover the importance of elliptic curves, modular forms, and modular curves in arithmetic geometry. Learn about the geometry of modular curves, Q-rational points, classical and non-abelian Chabauty methods, and related computational techniques. 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.