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Topological aspects of diﬀraction
Vrijeme: 
6.4.2011 17:00 
Predavaonica: 
005 
Predavač: 
Marcy Barge, Department of Mathematical Sciences, Montana State University, USA 
Naziv: 
Topological aspects of diﬀraction 
Opis:
Quasicrystals were ﬁrst produced in laboratories in the mid ’80’s and
have recently been discovered in nature. These are highly ordered, but nonperiodic,
materials with diﬀraction spectra exhibiting Bragg peaks (bright spots) much like true
crystals. Mathematical models of quasicrystals are now well developed and it turns
out that Topological Dynamics plays a surprising role in the analysis of the diﬀraction
properties of these models. I’ll explain this connection and give a brief introduction
to the Pisot Conjecture, which, roughly, asserts that all quasicrystals created from a
“Pisot” substitution have pure point diﬀraction spectra.

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