2006/12/23 by Pierre Pansu, Pansu, Pierre
Computer Science · Mathematics · #Advanced Algebra and Geometry #Geometric and Algebraic Topology #Topological and Geometric Data Analysis #math.DG #msc:20F67 #msc:53C24 #msc:53C35 #msc:53C44 #msc:53C70
paper · pdf · doi:10.48550/arxiv.math/0612736
56 pages To appear in the proceedings of a conference held in Grenoble in june 2004
arxiv created 2007/01/05 · arxiv updated 2009/12/01
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.