Description

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Foreword.- A survey of spectral models of gravity coupled to matter (Chamseddine, van Suijlekom).- The Riemann-Roch strategy, complex lift of the scaling site (Connes, Consani).- The Baum-Connes conjecture: an extended survey (Aparicio et al.).- Lie groupoids, pseudodierential calculus and index theory (Debord, Skandalis).- Cyclic homology in a special world (Dundas).- Curvature in noncommutative geometry (Fathizadeh, Khalkhali).- Index theory and noncommutative geometry: a survey (Gorokhovsky, van Erp).- Modular Gaussian curvature (Lesch, Moscovici).- Advances in Dixmier traces and applications (Lord et al.).- Commutants mod normed ideals (Voiculescu).- Quantum eld theory on noncommutative space (Wulkenhaar).- Higher invariants in noncommutative geometry (Xie, Yu).