16:15 | Jose Miguel Manzano (London)
| Parabolic stable surfaces with constant mean curvature in homogeneous 3-manifolds In this talk we will discuss some properties of Schrödinger operators on parabolic manifolds, and particularize them to study the stability operator of a parabolic surface with constant mean curvature immersed in a 3-manifold that admits a Killing vector field. As an application, we will determine the range of values of H such that some homogeneous 3-manifolds admit complete parabolic stable surfaces with constant mean curvature H. Time permitting, we will also discuss some related area and first-eigenvalue estimates for the stability operator of an entire constant mean curvature graph immersed in such 3-manifolds.
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