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SUMMARY:Craig S. Kaplan (University of Waterloo)
DTSTART:20230509T120000Z
DTEND:20230509T130000Z
DTSTAMP:20260423T021340Z
UID:OWNS/115
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OWNS/115/">A
 n aperiodic monotile</a>\nby Craig S. Kaplan (University of Waterloo) as p
 art of One World Numeration seminar\n\n\nAbstract\nA set of shapes is call
 ed aperiodic if the shapes admit tilings of the plane\, but none that have
  translational symmetry. A longstanding open problem asks whether a set co
 nsisting of a single shape could be aperiodic\; such a shape is known as a
 n aperiodic monotile or sometimes an "einstein". The recently discovered "
 hat" monotile settles this problem in two dimensions. In this talk I provi
 de necessary background on aperiodicity and related topics in tiling theor
 y\, review the history of the search for for an aperiodic monotile\, and t
 hen discuss the hat and its mathematical properties.\n
LOCATION:https://researchseminars.org/talk/OWNS/115/
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