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Wednesday, May 3, 2006

**Abstract:** A recent(ly posted) manuscript of Braverman-Bezrukavnikov gives a proof of a weak form of the geometric Langlands conjecture for GL_n in characteristic p. I'll explain what the geometric Langlands conjecture says in this setting and give an outline of the method of proof. I'll try to make the talk representation-theoretically self-contained: I won't assume that the audience knows about the ordinary Langlands program or the geometric Langlands program.