Singularities of the Lagrangian mean curvature flow

• Applicant: Professor Dr. Knut Smoczyk
• Subject Area: Mathematics
• Term: since 2020
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 441901986

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.

• DFG Programme: Priority Programmes
• Subproject of: SPP 2026: Geometry at Infinity