Claudia Lückert

Wilhelm Killing Kolloquium: Prof. Dr. Bernhard Hanke (Universität Augsburg): Torsion obstructions to positive scalar curvature

Thursday, 26.10.2023 14:15 im Raum M5

Mathematik und Informatik

The geometric, topological and analytic implications of scalar curvature constraints have been an active area of research for many years. In 1998, Thomas Schick discovered a purely homological obstruction to the existence of positive scalar curvature metrics on oriented closed smooth manifolds in terms of torality properties of their fundamental classes. We will revisit this obstruction and provide a group homological formulation. As an application we construct new examples of manifolds which do not admit positive scalar curvature metrics, but whose Cartesian products admit such metrics. Several fundamental questions remain open. The most important is whether toral manifolds of dimension at least 4 with finite fundamental groups of odd order admit positive scalar curvature metrics. This talk is based on joint work with Misha Gromov.

Angelegt am 22.09.2023 von Claudia Lückert
Geändert am 16.10.2023 von Sandra Huppert
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Kolloquium Wilhelm Killing
Vorträge des SFB 1442