Singularities of the Lagrangian mean curvature flow

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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.