Boundary regularity and the renormalized area functional

**Fecha de inicio**: 25/04/2011. **Fecha de fin**: 30/04/2011.

In previous joint work with Alexakis, we studied the renormalized area of properly embedded minimal surfaces in hyperbolic space, which turns out to be closely related to Willmore energy. In new work, we obtain some results about how control of this renormalized area of a minimal surface leads to some regularity of its asymptotic boundary.