Harmonic maps into singular spaces

Harmonic maps into singular spaces - Brian Freidin

Brian Freidin
Brown University; Visitor, School of Mathematics
December 11, 2018
In the 90's, Gromov and Schoen introduced the theory of
harmonic maps into singular spaces, in particular Euclidean buildings,
in order to understand p-adic superrigidity. The study was quickly
generalized in a number of directions by a number of authors. This
talk will focus on the work initiated by Korevaar and Schoen on
harmonic maps into metric spaces with curvature bounded above in the
sense of Alexandrov. I will describe the variational characterization
of harmonic maps into such spaces, some analytic consequences, and in
particular a Bochner formula capturing the role of both the domain and
target curvatures