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Structure in the absence of symmetry

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This talk looks at the topic of Aperiodic Order: highly structured patterns focusing on 2 and higher dimensions. I will give a brief historical context, from the Wang tiles of the 1960’s used to demonstrate the undecidability of the tiling problem in theoretical computing, the simple and elegant constructions of, eg, Ammann, Penrose, Robinson, de Bruijn and others in the 1970’s, and the discovery of such patterns “in nature” in the 1980’s. The second part of the talk will sketch how in the absence of obvious symmetry groups, topology can provide tools to describe some of the essential structures.

This talk is part of the Trinity Mathematical Society series.

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