Nirvana Coppola

Friendly presentation of Elliptic curves and Galois representations

The two protagonists of this talk are elliptic curves and Galois groups.

I will define elliptic curves and explain why they are an abelian group; in particular I will focus on points of finite order, known as torsion points. Then I will talk about Galois groups and describe the Galois action on torsion points.

I will give several examples to show this phenomenon in the simplest cases, and finally I will mention some possible generalizations.