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On the existence of Lagrangians with special properties
If you have a question about this talk, please contact Ivan Smith.
It is interesting to combine Riemannian structure and symplectic structure, and investigate objects with special properties with respect to both structures. Examples include special Lagrangians, minimal Lagrangians, Hamiltonian stationary Lagrangians, and Lagrangian soliton solutions of mean curvature flow. These submanifolds have nicer properties and can serve as model examples or canonical representatives for related classes for submanifolds in middle dimension. However, existence theory for these objects is still wildly open. In this talk, I will survey results and different techniques on studying the problem. The survey is biased by the speaker’s own interests and research, and does not mean to be complete.
This talk is part of the Differential Geometry and Topology Seminar series.
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