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Colloquium - Alexander Olevskii

math_sculpture
September 16, 2014
4:30 pm - 5:30 pm
CH 240

Title: Quasicrystals and Poisson Summation Formula

Speaker: Alexander Olevskii, Tel Aviv University

Abstract: The classic Poisson formula gives an example of measure with discrete support and spectrum.  Meyer's "model sets" provide many examples of measures with uniformly discrete support and pure point spectrum, which is dense. A new peak of interest to the subject was inspired by the experimental discovery of quasicrystals.  It has been conjectured that if both the support and the spectrum of a measure in R^n are uniformly discrete, then the measure has periodic structure.  I'll discuss the background and present a recent result, joint with Nir Lev, which proves the conjecture for positive measures.

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