| Orateur(s) | Roman Sauer - Karlsruhe Institute of Technology,
|
| Titre | Action on Cantor spaces and macroscopic scalar curvature |
| Date | 04/02/2021 |
| Horaire | 14:00 à 15:00 |
|
| Diffusion | https://bigbluebutton3.imj-prg.fr/b/fra-j6k-9fw |
| Résume | We prove the macroscopic cousins of three conjectures: 1) a conjectural bound of the simplicial volume of a Riemannian manifold in the presence of a lower scalar curvature bound, 2) the conjecture that rationally essential manifolds do not admit metrics of positive scalar curvature, 3) a conjectural bound of l2-Betti numbers of aspherical Riemannian manifolds in the presence of a lower scalar curvature bound. The macroscopic cousin is the statement one obtains by replacing a lower scalar curvature bound by an upper bound on the volumes of $1$-balls in the universal cover. Group actions on Cantor spaces surprisingly play an important role in the proof. The talk is based on joint work with Sabine Braun. |
| Salle | 1013 |
| Adresse | Sophie Germain |
