Reference for the proof of Langlands conjecture for $GL_n$ over function fields

Question

Is there any reference written in English for the proof of Langlands conjecture for $GL_n$ over function fields?

Answer 1

It depends on what you mean by reference, but this might work

• Gérard Laumon, "The Langlands Correspondence for Function Fields following Laurent Lafforgue" (1999)

It is a brief sketch of the everywhere unramified case with references to the original (french) papers. As far as I know there's no complete exposition of the proof in english.

There's some other (even shorter) expositions of the result and its context, for example

• Michael Rapoport, "The work of Laurent Lafforgue" (2003)

• Gérard Laumon, "The work of Laurent Lafforgue" (2002)