The Center of Excellence in Analysis and Dynamics presents
"Fourier quasicrystals" by Alexander Olevskii
Olevskii gives 4 lectures, 60 min each, providing an introduction to the mathematical theory of quasicrystalls, that are related to many fascinating phenomena, including the famous non-periodic Penrose tilings and the non-periodic crystal structures in nature that were discovered by Dan Shechtman (Nobel-price 2011).
For more information, contact: email@example.com
ABSTRACT: "I'll consider measures in R^n with discrete support and point spectrum. A classical example of such a measure is the "Dirac comb" which appeared in Poisson summation formula. A family of examples, with uniformly discrete support and dense spectrum was discovered by Y.Meyer. A new peak of interest to the subject was inspired by the experimental discovery of physical quasicrystals in the middle of 80-s. In particular it has been conjectured that if the support and the spectrum of a measure both are discrete sets then the measure has a periodic structure.
In these lectures I am going to present a necessary background and to discuss recent results in the topic. Based on joint work with Nir Lev."
Mon-Tue: 14:15-15:15 D123
Thu: 13:00-14:00 D122
Fri: 14:15-15:15 C123