### Harmonic extensions of quasi-regular maps

Analysis and Geometry Seminar

7th November 2017, 3:00 pm – 4:00 pm

Howard House, 2nd Floor Seminar Room

Recently Markovic proved a conjecture of Schoen asserting that every quasi-conformal map from the sphere to itself admits a harmonic extension to hyperbolic space. We prove that the same result remains true in the larger class of (non-constant) quasi-regular maps. This is joint work with Pekka Pankka.

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