Speaker:
|
Andres Navas (Universidad
de
Santiago
de
Chile) |
| Title: |
On a geometric
property of quasi-periodic 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
Burago-Kleiner and McMullen: there exist Delone
sets that are not bi-Lipschitz 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
quasi-periodic 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 bi-Lipschitz homeomorphisms of the
plane sending the Delone set into the standard
lattice.
|
Date &
Time:
|
Wednesday, Feb. 8,
2017, 15:30-17:00
|
Location:
|
Lecture Hall 1,
IPM Niavaran Building,
Niavaran Square, Tehran
|
|
|
