Low dimensional actions

Group Actions and Rigidity: Around the Zimmer Program

Workshop: Low dimensional actions 

Monday, April 29 to Saturday, May 4, 2024 - IHP, Paris

This workshop brings together researchers working in rigidity, regularity, and the moduli spaces of groups acting on low dimensional manifolds.  This area has rich connections with the Zimmer program as well as with orderable groups, foliation theory, and three manifolds.  Many challenging problems regarding actions on high dimensional manifolds become more tractable in the low dimensional setting, which can then inform approaches in higher dimensions.
The focus will be on problems related to the generalized Zimmer program, either in theme such as rigidity of lattices and other geometric/algebraic examples, or in methods, such as Furstenburg boundaries, measure rigidity and random dynamics, hyperbolicity, and questions of regularity.