Speaker:

Andres Navas (Universidad
de
Santiago
de
Chile) 
Title: 
On a geometric
property of quasiperiodic tilings.

Description:

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.

Date &
Time:

Wednesday, Feb. 8,
2017, 15:3017:00

Location:

Lecture Hall 1,
IPM Niavaran Building,
Niavaran Square, Tehran


