Lagrangian mean curvature flow of Whitney spheres

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Andreas Savas-Halilaj
University of Ioannina
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.