We introduce the macroscopic point of view for questions around scalar curvature.
Then we discuss 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. Group actions on Cantor spaces surprisingly play an important role in the proof. The talk is based on joint work with Sabine Braun.
Angelegt am Wednesday, 17.03.2021 09:57 von mathsekr
Geändert am Wednesday, 21.04.2021 10:44 von mathsekr
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