The Sticky Geometry of the Cosmic Web
  In this video we highlight the application of Computational Geometry to our
understanding of the formation and dynamics of the Cosmic Web. The emergence of
this intricate and pervasive weblike structure of the Universe on Megaparsec
scales can be approximated by a well-known equation from fluid mechanics, the
Burgers' equation. The solution to this equation can be obtained from a
geometrical formalism. We have extended and improved this method by invoking
weighted Delaunay and Voronoi tessellations. The duality between these
tessellations finds a remarkable and profound reflection in the description of
physical systems in Eulerian and Lagrangian terms.
  The resulting Adhesion formalism provides deep insight into the dynamics and
topology of the Cosmic Web. It uncovers a direct connection between the
conditions in the very early Universe and the complex spatial patterns that
emerged out of these under the influence of gravity.
