The work of Laurent Lafforgue
  Laurent Lafforgue has been awarded the Fields Medal for his proof of the Langlands correspondence for the full linear groups $\mathop{\rm GL}\nolimits_{r}$ ($r\geq 1$) over function fields.   This article is a brief introduction to the Langlands correspondence and to Lafforgue's theorem. 
G\'erard Laumon