Geometry and Topology Seminar: Homeomorphisms between aperiodic tiling spaces
12 March 2014 11:00 in CM103.
In this talk, I will give an introduction to aperiodic tilings. Usually,
one studies a topological space associated to these tilings rather than
one specific tiling (this is the analogue to studying a subshift rather
that one single word in symbolic dynamics).
It is a natural question to ask what happens to the underlying tilings
when there is a homeomorphism between tiling spaces.
I will try to give some leads to answer this question. One of the
consequences of such a homeomorphism is that the complexity function of
the tiling changes in a very controlled way.