Tilings, tiling spaces and hierarchy

Start: 04/06/2011 - 4:15pm
End  : 04/06/2011 - 5:00pm


Lorenzo Sadun (University of Texas at Austin)


To understand aperiodic order, we study spaces of non-periodic tilings. The topological and dynamical properties of these tiling spaces then reflect physical properties of materials, such as quasicrystals, that are modeled on these tilings. In this talk I will lay out the general construction of tiling spaces, and then specialize to spaces of tilings that exhibit interesting structure at arbitrarily large length scales – like fractals, only zooming out instead of in. I will present a new formalism, called ”fusion”, for studying these general hierarchical tilings. This is joint work with Natalie Frank.

Roberts North 15, CMC campus

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