26.01.2017, 16:15  –  University of Potsdam, Campus Golm, Building 9, Room 2.22
Seminar "Topics in Geometric Analysis"

Jose Miguel Manzano and Ahmad Afuni

16:15Jose 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.

 
17:45Ahmad Afuni (Hannover) Local regularity for the harmonic map and Yang-Mills heat flows

We shall discuss some new local regularity results for the harmonic map and Yang-Mills heat flows on complete manifolds as well as outline some applications.

 
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