Title of Seminar: Infosys Chandrasekharan Random Geometry Colloquium
Title of Talk: On Moduli Spaces of Cut-And-Project Quasicrystals I
Speaker: Rene Ruehr, Weizmann Institute
Date: October 6, 2021
Time: 17:00:00 Hours
Venue: AG-77
Abstract: A cut-and-project quasicrystal is a point set obtained from projecting a higher-dimensional lattice of $R^(d+m)$ on a lower-dimensional space $R^d$.
Title of Talk: On Moduli Spaces of Cut-And-Project Quasicrystals I
Speaker: Rene Ruehr, Weizmann Institute
Date: October 6, 2021
Time: 17:00:00 Hours
Venue: AG-77
Abstract: A cut-and-project quasicrystal is a point set obtained from projecting a higher-dimensional lattice of $R^(d+m)$ on a lower-dimensional space $R^d$.
I will talk about results obtained with Yotam Smilansky and Barak Weiss, in which we give a classification of measures on the space of quasicrystals invariant under the $SLd(R)$ action.
For $d > 2$ we also obtain Roger-type moment formulas and apply those to counting "patterns" arising in this non-aperiodic setting. I promise nice pictures and some details of the proofs.