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| + | === Lecture plan === | ||
| * Lecture 1: Lie groups and their parabolic subgroups, measured actions, Margulis factor theorem implies normal subgroup theorem; | * 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; | * 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; | ||
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| * Lectures 4/5: Proof of the Nevo--Zimmer factor theorem; | * Lectures 4/5: Proof of the Nevo--Zimmer factor theorem; | ||
| * Lecture 6: IRSs in higher rank p-adic Lie groups. | * Lecture 6: IRSs in higher rank p-adic Lie groups. | ||
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| + | === References === | ||
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| + | * Robert Zimmer, //Ergodic theory and semisimple groups//, Birkhäuser, [[https://synapse.math.univ-toulouse.fr/s/uDdFAB2jMrUzK4r|copy here]]. | ||
| + | * Garrett Stück, Robert Zimmer, //Stabilizers for ergodic actions of higher rank semisimple groups//, Annals of math. 1994, [[https://synapse.math.univ-toulouse.fr/s/BnzhsZvicA9pXqV|copy here]]. | ||
| + | * Amos Nevo, Robert Zimmer, //A generalization of the intermediate factors theorem//, J. d'analyse math. 2002, [[https://synapse.math.univ-toulouse.fr/s/Avps5MzAigf6oS2|copy here]]. | ||
| + | * Arie Levit, //The Nevo--Zimmer intermediate factors theorem over local fields//, Geom. Ded. 2017, [[http://arxiv.org/abs/1404.7007v2|Arxiv preprint]]. | ||