Wednesday, February 24, 2021 2:00 PM
Thomas Koerber (U Vienna)

In this talk, I will present recent work (joint with M. Eichmair) on large area-constrained Willmore surfaces in asymptotically Schwarzschild 3-manifolds. Using the method of Lyapunov-Schmidt reduction, we prove

that the end of such a manifold is foliated by distinguished area-constrained Willmore spheres. The leaves are the unique area-constrained Willmore spheres with large area, non-negative Hawking mass, and distance to the center of the manifold at least a small multiple of the area radius. We also give explicit examples to show that these conditions on the scalar curvature are necessary.