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SUMMARY:Rachel Greenfeld (UCLA)
DTSTART:20210202T163000Z
DTEND:20210202T173000Z
DTSTAMP:20260423T035825Z
UID:OAGAS/52
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OAGAS/52/">T
 ranslational tilings: structure and decidability</a>\nby Rachel Greenfeld 
 (UCLA) as part of Online asymptotic geometric analysis seminar\n\n\nAbstra
 ct\nLet F be a finite subset of Z^d. We say that F is a translational tile
  of Z^d if it is possible to cover Z^d by translates of F with no overlaps
 . \nGiven a finite subset F of Z^d\, could we determine whether F is a tra
 nslational tile in finite time? Suppose that F does tile\, does it admit a
  periodic tiling?  A well known argument of Wang shows that these two ques
 tions are closely related.  \nIn the talk\, we will discuss the relation b
 etween periodicity and decidability\; and present some new results\, joint
  with Terence Tao\, on the rigidity of tiling structures in Z^2\, and thei
 r applications to decidability.\n
LOCATION:https://researchseminars.org/talk/OAGAS/52/
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