Galois temsillerinin modüleritesi üzerine

In this study we will first introduce modular forms and study some properties of these mathematical objects, such as the operators between their spaces called Hecke operators. Using Hecke operators we will construct a basis, consisting of newforms. Then we will give Jacobians of modular curves and define Abelian variety which comes from weight-2 eigenforms. In the last chapter, we introduce Galois representations and we will give a brief skecth of the work done by Wiles.