Singularities of the Lagrangian mean curvature flow

主要目的是更详细地了解拉格朗日平均曲率流下形成的奇点，特别是ii型奇点的形成。我们打算研究以下三个与拉格朗日平均曲率流奇点相关的子课题：平移孤子的Harnack不等式和图形平移孤子的分类。等变拉格朗日子流形的拉格朗日平均曲率流的奇异性。-非负Ricci曲率浸入球拉格朗日平均曲率流下形成的ii型奇点的分类。

The main objective is to understand in more detail the singularities forming under the Lagrangian mean curvature flow, in particular the formation of type-II singularities. We intend to work on the following three sub-projects related to the singularities of the Lagrangian mean curvature flow:- Harnack inequalities for translating solitons and classifications of graphical translating solitons..- Singularities of Lagrangian mean curvature flow of equivariant Lagrangian submanifolds.- Classification of type-II singularities forming under the Lagrangian mean curvature flow of immersed spheres with non-negative Ricci curvature.