MINI-COURSE: QUASI-CRYSTALS, FOURIER ANALYSIS AND ERGODIC THEORY SYDNEY, APRIL 2016 MICHAEL BJORKLUND A course outline The aim of this mini-course is to give an introduction to the classical theory of mathematical quasi-crystals developed by Meyer and others. In total, there will be 6 meetings (one meeting is 50 minutes). While the first two lectures will be devoted to problems pertaining to Diophantine approximation, the remaining lectures will be more focused on the "dynamics" of quasi-crystals. Lecture I: Quasi-crystals and Pisot numbers Lecture II: Coarse models for quasi-crystals Lecture III: An introduction to mathematical diffraction Lecture IV: The torus parameterization and diffraction for models Lecture V: Strungaruâs Theorem on diffraction of quasi-crystals Lecture VI: Outlooks