Abstract
Roughly, a Delone set is the set of vertices of a tiling using pieces that "do not degenerate" in form. Formally, it is a uniformly separated and coarsely dense subset of the plane.
A natural question raised by Gromov and Furstenberg was answered in the negative by BuragoKleiner and McMullen: there exist Delone sets that are not biLipschitz equivalent to the standard lattice. In this talk, we will show that such sets can be even made "repetitive", which means that they are the vertices of a quasiperiodic tiling. Nevertheless, we will see that this cannot be the case for "Isfahan like tilings" (as the Penrose one): for all of these, there are even biLipschitz homeomorphisms of the plane sending the Delone set into the standard lattice.
Information:
Date and Time: 
Wednesday, February 8, 2017 at 15:3017:00
 Place:  Niavaran Bldg., Niavaran Square, Tehran, Iran 
