Upcoming talks
May 20, 2026
- Karl-Theodeor Sturm: Gaussian Volume Functional, Integral Scalar Curvature, and Minimal Super-Ricci Flows
(16:30 Paris, 10:30 am NYC) - We present a synthetic notion of scalar curvature (and its integral) for Riemannian manifolds and metric measure spaces, defined in terms of the initial slope of a Gaussian (double) integral. We explicitly calculate the integral scalar curvature for Lipschitz gluings of smooth Riemannian manifolds and for cones. In dimension 2, the former coincides with the formula derived by Gauss-Bonnet, whereas the latter differs. The extension to the time-dependent case allows us to characterize Ricci flows as super Ricci flows with minimal integral curvature functional.
Previous talks
Seminar Info
Each session will consist of one or two lectures on a recent advance in geometry. Not all the talks will concern scalar curvature but perhaps many will. Each talk will be followed by a discussion both in person and online. Everyone is welcome to join the session live (zoom) or watch the recorded videos of the talks later.Zoom starts at 16:30 Paris time:
click here to register and receive linkIHES Carmin TV Channel Info:
https://www.carmin.tv/en/collections/not-only-scalar-curvature-seminarOrganizers
Misha Gromov, IHES
Website: https://www.ihes.fr/~gromov/
Bernhard Hanke, University of Augsburg
Website: https://www.uni-augsburg.de/de/fakultaet/mntf/math/prof/diff/team/bernhard-hanke/
Christina Sormani, CUNY Graduate Center and Lehman College
Website: https://sites.google.com/site/professorsormani/home
Gouliang Yu, Texas A&M University
Website: https://www.math.tamu.edu/people/formalpg.php?user=guoliangyu