Representations of Finite Chevalley Groups

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These notes arose from a series of lectures given by the author at a CBMS Regional Conference held at Madison, Wisconsin, in August 1977. The conference was supported by the National Science Foundation. The main purpose of the notes was to show how $1$-adic cohomology of algebraic varieties over fields of characteristic $p>1$ can be used to get information on the representations of finite Chevalley groups.