These informal notes are closely based on a series of eight lectures given by J.-P. Serre at the University of Oregon in October 1998. Professor Serre gave two talks per week for four weeks.
The first talk each week was concerned with constructing embeddings of finite groups, especially PSL_2(p) and PGL_2(p) into Lie groups. The second talk each week was about generalizations of the notion of complete reducibility in group theory, especially in positive characteristic.
Please send corrections and errors to W.E. Duckworth.
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