neretin
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neretin [2018/03/30 13:23] jraimbau |
neretin [2018/05/14 17:19] (current) jraimbau |
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| === Presentation === | === Presentation === | ||
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| + | The Neretin group of a regular tree is defined as a group of "piecewise automorphisms" on the boundary. It can be endowed with a locally compact topology, and has no lattices. It is a natural question to ask whether it has IRSs beyond the trivial ones. It is likely that a proof that IRSs "parabolic" subgroups of the Neretin groups (subgroups fixing a point on the boundary of the tree) can be classified using a modification of an argument for similar groups in the discrete case, and we hope that this might help proving that there are nontrivial IRSs in the Neretin groups. | ||
| === Lecture plan === | === Lecture plan === | ||
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| * The Neretin group, and why it has no lattices; | * The Neretin group, and why it has no lattices; | ||
| * Groups acting on trees which have no lattices; | * Groups acting on trees which have no lattices; | ||
| - | * "Parabolic" subgroups and their IRSs: a continuous version of a result of Thomas--Tucker-Drob; | + | * "Parabolic" subgroups and their IRSs: a continuous version of a result of Thomas--Tucker-Drob? |
| - | * ... | + | |
| === References === | === References === | ||
neretin.1522409035.txt.gz · Last modified: 2018/03/30 13:23 by jraimbau
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