organisation de l'atelier "IRS à Sète" pour l'ANR AGIRA
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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.