![Strong primeness for equivalence relations arising from Zariski dense subgroups](/media/cache/video_light/uploads/video/Capture%20d%E2%80%99%C3%A9cran%202024-06-14%20%C3%A0%2010.01.07.png)
![](/assets/front/img/icon-video-play-7e3956a0b9.png)
Strong primeness for equivalence relations arising from Zariski dense subgroups
De Cyril Houdayer
Apparaît dans la collection : Big Mapping Class Groups and Diffeomorphism Groups / Gros groupes modulaires et groupes de difféomorphismes
The study of the path-connectedness of the space of $C^{r}$ actions of $\mathbb{Z}^{2}$ on the interval [0,1] plays an important role in the classification of codimension 1 foliations on 3 manifolds. One way to deform actions is by conjugation. If an action can be brought arbitrarily close to the trivial one by conjugation, it is said to be quasi-reducible. In this talk, we will present and compare obstructions to quasi-reducibility in different regularity classes, and draw conclusions concerning the initial connectedness problem.