**Salam Turki**

**Representions of $GL(2,F)$ Associated to Elliptic Curves**

In the first part of this talk we will introduce elliptic curves over

non-archimedean local fields, the concept of minimality and the reduction

types. In the second part we will define the Weil group and introduce the

local Langlands correspondence for $GL(2,F)$. Then for $F=Q_p$ the p-adic

field, we will determine the representation $\pi$ for $GL(2,F)$, associated

to an elliptic curve $E/F$, from the Weierstrass equation.