Minimal Lagrangian tori in toric manifolds

Abstract: Minimal submanifolds were first introduced and studied in the 18th century. They are the object of a great deal of interest nowadays as they play an important role in Riemannian Geometry, Mathematical Physics and have many applications. Still, there are surprisingly few concrete examples of such submanifolds apart from the obvious ones.

In this talk we want to discuss examples of minimal Lagrangian tori in toric manifolds. They come from exploiting the toric symmetry through the use of what Palais called the ''Principle of Symmetric Criticality''. We will give background, discuss examples and if time permits talk about open problems.

This is joint work with Gonçalo Oliveira.

differential geometrygeometric topologysymplectic geometry

Audience: researchers in the topic

( video )

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Virtual seminar on geometry with symmetries

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

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