Talks.cam

Scalar curvature on manifolds with at least two ends - Rudolf Zeidler (Muenster)
2023-11-22 16:00 - 17:00 UTC | MR13
We will discuss geometric and topological consequences of positive lower scalar curvature bounds on manifolds with at least two ends. This will include two aspects: One the one hand, quantitative distance estimates in the presence of a particular lower scalar curvature bound, and on the other hand, qualitative obstructions to the existence of complete positive scalar curvature metrics on certain (non-compact) manifolds. Both types of results rely on augmenting classical techniques to study scalar curvature – Dirac operator and minimal hypersurface methods – via a certain potential function. They are motivated by recent questions of Gromov and an earlier conjecture due to Rosenberg--Stolz. The talk will in part be based on joint work with Simone Cecchini and Daniel Räde.
