250304 Mar Curcó-Iranzo

Modular curves are the moduli space of elliptic curves. In the talk, I will shortly introduce elliptic curves, modular curves and the Jacobian variety of the latter. I will then talk about the historical problem of computing rational torsion of the Jacobian variety known as Ogg’s conjecture. Finally, I will present my results regarding an extension of the previous question to generalized Jacobians of classical modular curves and Drinfeld modular curves (if time allows).