Analysis on simple Lie groups and lattices

  • Mikael de la Salle

    CNRS, Université de Lyon, Institut Camille Jordan, Villeurbanne, France
Analysis on simple Lie groups and lattices cover
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We present a simple tool to perform analysis with groups such as and , that has been introduced by Vincent Lafforgue in his study of nonunitary representations and strong property (T), in connection with the Baum–Connes conjecture. It has been later applied in various contexts: operator algebras, Fourier analysis, geometry of Banach spaces, and dynamics. The idea is to first restrict to compact subgroups and then exploit how they sit inside the whole group.