Topic: hierarchical growth

Uddipan Banik derives a dynamical account of dark-matter halo density profiles using the Boltzmann–Poisson equations for an expanding Universe populated by subhalos of many masses. A self-similar solution links density slope to halo mass growth; including gravitational scattering and subhalo capture gives gamma = 6/(s + 2). Initial collapse with s = 2 produces a prompt cusp of slope 3/2. Hierarchical growth connects the slope to the primordial power spectrum and recovers the Syer–White relation during matter domination. Stable clustering selects an inner Navarro–Frenk–White cusp of slope one,

Most cosmic matter and energy remain unidentified, while galaxies trace a structured network of filaments, walls, voids and clusters. This seminar explains how that network emerges through hierarchical growth and how sky surveys reconstruct its changing distribution. Mapping the cosmic web connects observations of large-scale structure with the expansion and evolution of the Universe.