Equidistribution of Matrix Valued Gauss Sums by C. S. Rajan

Explore a lecture on the equidistribution of matrix valued Gauss sums presented by C. S. Rajan at the International Centre for Theoretical Sciences. Delve into this advanced topic in arithmetic geometry as part of a broader program on rational points on modular curves. Gain insights into the theoretical aspects of modular curves, elliptic curves, and modular forms, which are central to arithmetic geometry. Learn about techniques used to study rational points on varieties and their applications to modular curves. Understand the program's focus on determining K-rational points on modular curves XH(K) for various fields and subgroups. Benefit from an advanced introduction to the theory, including geometry of modular curves, Q-rational points, Chabauty methods, and related computational aspects. Engage with experts in arithmetic geometry and participate in discussions that bridge advanced topics with practical examples, fostering future research in this field.