Joint Analysis / Geometric Analysis Seminar

Jingyi ChenUniversity of British Columbia
Regularity of Hamiltonian stationary Lagrangian manifolds

Friday, September 1, 2017 - 2:30pm
Malott 224

A Hamiltonian stationary Lagrangian manifold is a critical point of the volume functional under Hamiltonian variations. It is locally determined by fourth order elliptic equations. We show that any $C^1$ Hamiltonian stationary Lagrangian manifold is smooth. This is joint work with Micah Warren.