Calculus of Variations and Geometric Measure Theory

Lagrangian mean curvature flow of Whitney spheres

Andreas Savas-Halilaj

created by gelli on 27 Nov 2018

19 dec 2018 -- 17:00   [open in google calendar]

Sala Seminari (Dipartimento di Matematica di Pisa)


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.