12-19【邱红兵】Bernstein type theorems of ancient solutions to mean curvature flows

In this talk, we shall discuss Bernstein type results of ancient solutions to mean curvature flows. We firstly show a rigidity result of ancient solutions in codimension one under an optimal growth condition. Then by carrying out refined curvature estimates, we prove better rigidity theorems of complete noncompact ancient solutions to the mean curvature flow in higher codimension under various Gauss image restriction. This talk is partially based on a joint work with Professor Y. L. Xin.