Speaker: Scott Zimmerman (Ohio State University)

Title: Sobolev extensions of maps into metric spaces

Abstract: There are several ways of defining classes of Sobolev maps from domains in  to an arbitrary metric space. In this talk, I will discuss some the relationships between some of these notions when the target is the sub-Riemannian Heisenberg group (or, more generally, a Lipschitz connected metric space). Moreover, I will discuss those domains for which Sobolev maps of different classes are the traces of globally defined Sobolev maps. This is joint work with Piotr Hajlasz.