Abstract: Let F be a field of rational functions of a curve over a finite field, and let A be the ring of adeles of F. Then Langlands' conjecture for GL(n) (proved by Drinfeld for n=2 and by Lafforgue in general) asserts that there is a canonical bijection between (l-adic) n-dimensional irreducible representations of the Galois group of F and certain infinite-dimensional representations of the group GL(n,A). The aim of my talk is to formulate the result, and outline the strategy of the proof. If time permits I will also speak about Langlands' conjecture for arbitrary reductive groups.