Leicester Pure Mathematics Seminar, 19/3/2009
An introduction to aperiodic tilings, tiling spaces and LI classes.
4:30pm, MAB 119
David Fletcher (University of Leicester)
Abstract: This talk gives a brief introduction to aperiodic tilings, and their 'tiling spaces', which consist of all possible ways of tiling a plane given a certain set of tiles.
Examples of simple tiling spaces will be given, as well as motivating examples illustrating why classifying tiling spaces is a non-trivial problem.
I will then illustrate recent work by myself and Prof J.Hunton which provides examples of tiling spaces with an arbitary number of components. The proof and constructions involve Local Isomorphism classes and repetitivity, which will be defined and explained in the talk.
The talk is intended to be understandable for someone who has little knowledge of the field.
