A Second Boundary Value Problem for special Lagrangian submanifolds

A Second Boundary Value Problem for special Lagrangian submanifolds

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Micah Warren, Princeton University
Fine Hall 314

Given any two uniformly convex regions in Euclidean space, we show that there exists a unique diffeomorphism between them, such that the graph of the diffeomorphism is a special Lagrangian submanifold in the product space. This is joint work with Simon Brendle.