Tom Wan, CUHK, Hong Kong

Mean Curvature Flows in HyperKähler Manifolds

We will discuss a class of middle dimensional submanifolds in hyperkahler manifolds which is preserved under mean curvature flow. Submanifolds in this class also has a natural map to the real projective plane which should be regarded as an analog of the phase map of lagrangian submanifolds in Calabi-Yau manifold. We will see that there is a setting parallel to the case of lagrangian in Calabi-Yau.