Ricci curvature, the convexity of volume and minimal Lagrangian submanifolds
Tommaso Pacini (University of Torino)
Abstract: There exist various classical relationships between Ricci curvature and volume. We will show that, in toric Kaehler geometry, the relationship is particularly strong: the sign of the Ricci curvature corresponds to convexity properties of the volume functional. As an application, we will discuss existence/uniqueness results for minimal Lagrangian submanifolds.
We will emphasize the fact that, although these topics are Riemannian/symplectic, the ideas used in the proofs are complex-theoretic.
More generally, we will discuss analogous results in the wider context of group compactifications.
differential geometrysymplectic geometry
Audience: researchers in the topic
Virtual seminar on geometry with symmetries
Series comments: Description: Research seminar in Lie group actions in Riemannian geometry.
The seminar meets every other Wednesday. To accommodate most time zones, the time rotates. The Zoom link is sent to the mailing list around 24 hours before each talk. To subscribe to the mailing list, send a message to geometrywithsymmetries@gmail.com requiring it.
Organizers: | Fernando Galaz-GarcĂa*, Carolyn Gordon, Ramiro Lafuente*, Emilio Lauret* |
*contact for this listing |