Mathematics – Differential Geometry
Scientific paper
2006-12-23
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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