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| === Lecture plan === | === Lecture plan === | ||
| - | * Lecture 1: Lie groups and their parabolic subgroups, measured actions, Margulis factor theorem implies normal subgroup theorem; | + | * Lecture 1: 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; | + | * Lecture 2: Lie groups and their parabolic subgroups, Margulis factor theorem implies normal subgroup theorem; |
| - | * Lectures 3/4: cocycles, factor theorem of Nevo--Zimmer, proof of the Stück--Zimmer theorem; | + | * Lecture 3-4-5: Nevo--Zimmer factor theorem, implication of the SZ theorem and proof. |
| - | * Lectures 4/5: Proof of the Nevo--Zimmer factor theorem; | + | |
| - | * Lecture 6: IRSs in higher rank p-adic Lie groups. | + | |
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| * 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]]. | * 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]]. | * 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]]. | ||
| - | * Miklós Abért et al., //On the growth of L<sup>2</sup>-invariants for sequences of lattices in Lie groups, Ann. of math. 2017, [[https://arxiv.org/abs/1210.2961|Arxiv version]]. | + | * Miklós Abért et al., //On the growth of L<sup>2</sup>-invariants for sequences of lattices in Lie groups//, Ann. of math. 2017, [[https://arxiv.org/abs/1210.2961|Arxiv version]]. |
| * Arie Levit, //The Nevo--Zimmer intermediate factors theorem over local fields//, Geom. Ded. 2017, [[http://arxiv.org/abs/1404.7007v2|Arxiv preprint]]. | * Arie Levit, //The Nevo--Zimmer intermediate factors theorem over local fields//, Geom. Ded. 2017, [[http://arxiv.org/abs/1404.7007v2|Arxiv preprint]]. | ||
nsz.1522418256.txt.gz · Last modified: 2018/03/30 15:57 by jraimbau
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