Superrigidité géométrique et applications harmoniques

Details Superrigidité géométrique et applications harmoniques Superrigidité géométrique et applications harmoniques

2006-12-23

arxiv.org/abs/math/0612736v2

Mathematics

Differential Geometry

56 pages To appear in the proceedings of a conference held in Grenoble in june 2004

Scientific paper

These are expanded notes of a course given in Grenoble in june 2004. After a
brief description of the harmonic map proof of Margulis' superrigidity and
arithmeticity theorems, it is shown how the method might generalize to
fundamental groups of simplicial complexes whose links have large enough
nonlinear spectral gaps, with emphasis on random groups.

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