Duchesne, BrunoMonod, Nicolas2018-12-132018-12-132018-12-132018-01-0110.5802/aif.3209https://infoscience.epfl.ch/handle/20.500.14299/152228WOS:000451850900012We establish obstructions for groups to act by homeomorphisms on dendrites. For instance, lattices in higher rank simple Lie groups will always fix a point or a pair. The same holds for irreducible lattices in products of connected groups. Further results include a Tits alternative and a description of the topological dynamics.We briefly discuss to what extent our results hold for more general topological curves.Mathematicsdendritesgroupsrigiditybounded cohomologylatticestits alternativedynamicscurvesarithmetic groupsfree subgroupsfixed-pointspacessuperrigiditytext::journal::journal article::research article