Halo formation and evolution in the cosmic web

Using a classification of large-scale structure based on tidal stability, we associate haloes to clusters, filaments, sheets or voids. Applying this scheme to N-body simulations of cosmic structure formation, we illuminate several key aspects of the environmental dependence of halo formation and evolution in the context of the cosmic web. First, we present evidence for alignment correlations of halo spin and shape with the large-scale tidal field and then consider the effect of environment, on the build-up of halo mass that manifests itself in the halo assembly bias'.