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Lecture 1: Lie groups and their parabolic subgroups, measured actions, Margulis factor theorem implies normal subgroup theorem;
Lecture 2: IRS in Lie groups and relation with pmp actions, “Borel density” for IRS, statement of the Stück–Zimmer theorem and application to IRSs in higher rank groups;
Lectures 3/4: cocycles, factor theorem of Nevo–Zimmer, proof of the Stück–Zimmer theorem;
Lectures 4/5: Proof of the Nevo–Zimmer factor theorem;
Lecture 6: IRSs in higher rank p-adic Lie groups.