P-adic Height Pairings of Geodesics on Modular Curves

P-adic Height Pairings of Geodesics on Modular Curves

Explore a comprehensive lecture on p-adic height pairings of real quadratic geodesics on modular curves. Delve into the motivation behind studying this pairing and its connection to real quadratic (RM) singular moduli. Examine how interpreting the height pairing as a triple product period provides insights into the conjectures made during the definition of RM singular moduli. Learn about the collaborative research conducted with Henri Darmon in this 1-hour and 12-minute presentation from the Hausdorff Center for Mathematics.