Hamiltonian Stationary Tori in Kahler Manifolds

Friday, October 2, 2009 -
3:00pm to 5:00pm
A solution of the Hamitonian stationary variational problem is a Lagrangian submanifold (of a symplectic manifold with compatible Riemannian metric) whose volume is stationary under Hamiltonian variations. In joint work with Adrian Butscher, we construct families of small Hamiltonian stationary Lagrangian tori near a point in a Kahler four-manifold, under a non-degeneracy condition on the complex curvature tensor at the point.
Justin Corvino
Lafayette College
Event Location: 
Fine Hall 314