Tuesday 29 April 2025, 16:00 - 17:00 in HG.00.308
Florian Zeiser (Radboud)
Stability for foliations - Overview and examples
A common question for geometric structures is that of rigidity, i.e. given two geometric structures sufficiently close, are they equivalent? In this talk we discuss this question for regular foliations on a closed manifold. In the first part we define the necessary terms, give an overview of the current state of the art and highlight its relation with the question of rigidity for group actions. Generally, there are two issues: 1) often these results require the foliation to have compact leaves 2) there is a lack of examples. In the second part of the talk, we take a step towards addressing those issues, by outlining a construction of infinitesimally rigid foliations with dense leaves. This is based on joint work with Stephane Geudens.