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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

57M60 - Group actions in low dimensions
57-XX - Manifolds and cell complexes {For complex manifolds, see 32Qxx}
58-XX - Global analysis, analysis on manifolds [See also 32Cxx, 32Fxx, 32Wxx, 46-XX, 47Hxx, 53Cxx] {For geometric integration theory, see 49Q15}
58Dxx - Spaces and manifolds of mappings (including nonlinear versions of 46Exx) [See also 46Txx, 53Cxx]
58D05 - Groups of diffeomorphisms and homeomorphisms as manifolds [See also 22E65, 57S05]
58D19 - Group actions and symmetry properties

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

	Hulin.Notes 686 KB application/pdf	Download

Video/Audio Files

14616

H.264 Video	14616.mp4 295 MB video/mp4 rtsp://videos.msri.org/data/000/026/665/original/14616.mp4	Download

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