organisation de l'atelier "IRS à Sète" pour l'ANR AGIRA
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summary
The purpose of this talk would be to explain the construction of non-discrete locally compact groups with no non-trivial uniformly recurrent subgroups and no non-trivial invariant random subgroups. These groups are defined as groups of piecewise affine homeomorphisms of a locally compact Cantor space. Some examples can also be viewed as subgroups of the group AAut(T) of almost automorphisms of a regular tree, but unlike AAut(T), they are not compactly generated. Joint work with Nicolas Matte Bon.