EVENT DETAILS AND ABSTRACT

Title: Convex hull property of harmonic maps
Speaker: Professor Jiaping Wang
Speaker Info: Cornell University
Brief Description:
Special Note:
Abstract:

Harmonic maps, which are the critical points of a naturally defined energy functional for smooth maps between Riemannian manifolds, have been playing important roles in various situations. In this talk, we shall attempt to describe some results concerning the structure of the image set of a harmonic map and some of the consequences and applications. A model case of our results may be stated as follows. The image of a harmonic map from the plane into the Euclidean ball equipped with hyperbolic metric is contained in the convex hull of its intersection with the sphere. If the map is of polynomial growth of order d, then the image is contained in an ideal polygon with at most 2d vertices.