Seminar of Research Training Group
Non-commutative quasicrystals I
Tuesday June 21, 2016 16:15:00 CEST
Tuesday June 21, 2016 17:45:00 CEST
Felix Pogorzelski, Technion Haifa, Israel
The investigation of aperiodic point sets originates back to work of Meyer in the 70ies who pursued harmonic analysis on harmonious sets in Euclidean space. Shechtman's discovery of physical quasicrystals (1982) via laser experiments diffraction) triggered a boom of the mathematical analysis of the arising scatter patterns. In recent work with Michael Björklund and Tobias Hartnick, we developed a spherical diffraction theory for cut-and-project sets in general lcsc groups, thus advancing into the non-commutative world. This seminar aims at describing these non-commutative quasicrystals, as well as the dynamical systems which naturally arise from them. We explain further how to use these tools in order to derive the existence and the approximation of the autocorrelation measure.
SR 5, Helmholtzweg 4