**UBC Mathematics Department**

*http://www.math.ubc.ca*

## Colloquium Abstract: Professor R. Schoen, Department of Mathematics,
Stanford University

*A Plateau problem in complex geometry*

This will be a lecture, intended for a general audience, about
the variational problem of finding least volume Lagrangian submanifolds of
Kahler or symplectic manifolds. Motivations for this problem arise in
Kahler geometry, mirror symmetry, and nonlinear elasticity. We will describe
the connections with special Lagrangian geometry. We will outline the
progress which has been made on this variational problem, and describe
what we see as the main obstacles toward a better understanding.

Return to this week's seminars