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Harmonic maps into metric spaces with upper curvature bounds

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Christine Breiner
Fordham University
Don, 2017-05-04 16:30 - 17:30
MPIM Lecture Hall

We consider harmonic maps from Riemannian manifolds to metric spaces with upper curvature bounds
in the sense of Alexandrov. We will present a Sacks-Uhlenbeck type result for such maps, which we prove
by demonstrating that the tools harmonic replacement can be extended to this setting. We may also discuss
ongoing work on removable singularity theorems for such maps. This work is joint with Fraser, Huang,
Mese, Sargent, Zhang and separately with Lakzian and Mese.


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