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Harmonic quasiisometries

Groups acting on CAT(0) spaces September 27, 2016 - September 30, 2016

September 29, 2016 (11:40 AM PDT - 12:30 PM PDT)
Speaker(s): Dominique Hulin (Université de Paris XI)
Tags/Keywords

  • CAT(0) space

  • Riemannian geometry

  • negative curvature manifolds

  • harmonic maps and Riemannian manifolds

  • Symmetric space

  • buildings and complexes

  • group actions

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

14616
Abstract

We prove that any quasiisometric map between rank one symmetric spaces is within bounded distance from a unique harmonic map. In particular, this completes the proof of the Schoen-Li-Wang conjecture.

This is joint work with Yves Benoist.
Supplements
26866?type=thumb Hulin.Notes 686 KB application/pdf Download
Video/Audio Files

14616

H.264 Video 14616.mp4 295 MB video/mp4 rtsp://videos.msri.org/14616/14616.mp4 Download
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