• Speaker: Jacob Bernstein
  • Time: 11:20-12:20
  • Abstract: Using the method of moving planes Schoen showed that any smooth minimal immersion spanning a pair of coaxial circles must be a piece of a catenoid or a pair of disks. Using a variation on this technique we extend this result to a larger class of stationary surfaces -- at least when the circles have the same radius. This class is large enough to include the essentially singular surfaces that are observed in physical soap-films. This is joint work with F. Maggi.