Lagrangian mean curvature flow of Whitney spheres – Andreas Savas-Halilaj (University of Ioannina)

Venue

Sala Seminari (Dip. Matematica).

Abstract

We investigate the evolution under the mean curvature flow of an equivariant Lagrangian sphere. It is shown that under a convexity assumption on the Ricci curvature, the flow develops a type-II singularity that rescales to the product of a grim reaper with a flat Lagrangian space. In particular this result applies to the Whitney sphere. This is joint work with K. Smoczyk.

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