Ricci curvature, the convexity of volume and minimal Lagrangian submanifolds

Tommaso Pacini (University of Torino)

20-Oct-2021, 16:00-17:00 (2 years ago)

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

( paper | slides | video )


Virtual seminar on geometry with symmetries

Series comments: Description: Research seminar in Lie group actions in Riemannian geometry.

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Organizers: Fernando Galaz-GarcĂ­a*, Carolyn Gordon, Ramiro Lafuente*, Emilio Lauret*
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