
Speaker
Younghwan Son
Abstract
In 1982 D. Shechtman (the 2011 Nobel Laureate in Chemistry) discovered a type of crystal (now called a quasicrystal) that disagreed with the prevailing views on the atomic structure of materials. Previously, the conventional view was that crystals have a periodic atomic arrangement whose X-ray diffraction pattern should obey certain special rotational symmetries. That is known as the classical crystallographic restriction theorem. However, the X-ray diffraction spectrum of quasicrystals has sharp spots called Bragg peaks and non-crystallographic symmetries, which is indicative of aperiodic structures with long range order. This discovery has inspired a lot of research on the structures of mathematical quasicrystals. In this talk we will consider some relevant conditions to model mathematical quasicrystals.
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