Systems with rank one factors
By Kurt Vinhage
Also appears in collection : 2024 - T2 - WS3 - Actions of large groups, geometric structures, and the Zimmer program
Lie group actions with rank one factors have natural families of perturbations arising from modifying each factor independently. I will explain ways to obtain semi-rigid settings, in particular, various characterizations of product systems. Partially based on work with R. Spatzier, and work in-progress with A. Uzman.