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TZID:Asia/Jerusalem
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DTSTART:20191027T020000
TZOFFSETFROM:+0300
TZOFFSETTO:+0200
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DTSTART:20190329T020000
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UID:calendar.84877.field_date.0@mathematics.huji.ac.il
DTSTAMP:20200710T102802Z
CREATED:20190527T220016Z
DESCRIPTION:Date: \n\n12:00pm to 1:00pm\n\n\n\n\nSee also: Dynamics Lunch
\, Events & Seminars\, Seminars\n\n\nAbstract: Cut and project point sets
are defined by identifying a strip of a fixed n-dimensional lattice (the '
cut')\, and projecting the lattice points in that strip to a d-dimensional
subspace (the 'project'). Such sets have a rich history in the study of m
athematical models of quasicrystals\, and include well known examples suc
h as the Fibonacci chain and vertex sets of Penrose tilings. \nIn the talk
I will present the 'space of quasicrystals' as introduced by Jens Marklof
and Andreas Strombergsson. Given a cut and project set\, vary the n-dimen
sional lattice according to an SLdR action. This defines a 'space of quasi
crystals'\, which following Ratner is shown to have a homogeneous structur
e. Equidistribution results may be applied to establish generic properties
of cut and project sets\, such as a Siegel summation formula. I will desc
ribe this construction and discuss some properties.\n\n Export\n \n\n
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DTSTART;TZID=Asia/Jerusalem:20190611T120000
DTEND;TZID=Asia/Jerusalem:20190611T130000
LAST-MODIFIED:20191104T060009Z
SUMMARY:Dynamics Lunch: Yotam Smilansky 'The space of quasicrystals.'
URL;TYPE=URI:https://mathematics.huji.ac.il/event/dynamics-lunch-yotam-smil
ansky-0
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