The two faces of scalar curvature

Abstract:

According to Gromov's h-principle, there are no global obstructions to Riemannian metrics with prescribed curvature bounds on non-compact, connected manifolds. However, under additional assumptions such as metric completeness or specific boundary conditions, this flexibility is challenged by rigidity phenomena, which lead to classification patterns in terms of topological and metric invariants.

The geometry of Riemannian manifolds with positive scalar curvature lies at the boundary between the flexible and rigid worlds. I will illustrate this dual nature using a few exemplary ideas and results.

Referent/Referentin

Prof. Dr. Bernhard Hanke, Universität Augsburg

Veranstalter

Fakultät für Mathematik und Physik

Termin

18. November 2025
16:30 Uhr - 17:30 Uhr

Kontakt

Prof. Dr. Ulrich Derenthal
Institut für Algebra, Zahlentheorie und Diskrete Mathematik
Welfengarten 1
30167 Hannover
Tel.: 0511 762 4478
derenthal@math.uni-hannover.de

Termin im Kalender speichern (.ics)

Ort

Hauptgebäude
Geb.: 1101
Raum: Hörsaal B 302
Welfengarten 1
30167 Hannover

Standort anzeigen

Weblink

https://www.maphy.uni-hannover.de/de/news-veranstaltungen/mathematisch-physikalisches-kolloquium