Filip Najman
University of Zagreb, Croatia
November 2, 2023
Modular Curves: Modular curves are defined either as the quotient of the upper half-plane by some congruence subgroup or as a moduli space of elliptic curves with some prescribed Galois representation. They play an important role in the study of elliptic curves and in Diophantine equations. In this lecture I will explain the main motivations for the study of modular curves, describe the main results in the subject, as well as the important consequences of those results.
University of Zagreb, Croatia
November 2, 2023
Modular Curves: Modular curves are defined either as the quotient of the upper half-plane by some congruence subgroup or as a moduli space of elliptic curves with some prescribed Galois representation. They play an important role in the study of elliptic curves and in Diophantine equations. In this lecture I will explain the main motivations for the study of modular curves, describe the main results in the subject, as well as the important consequences of those results.