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SUMMARY:Emmanuel Breuillard
DTSTART:20210811T115000Z
DTEND:20210811T122000Z
DTSTAMP:20260417T010240Z
UID:MSR80/14
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MSR80/14/">A
 pproximate lattices and quasi-crystals</a>\nby Emmanuel Breuillard as part
  of International Conference on Discrete groups\, Geometry and Arithmetic\
 n\n\nAbstract\nAperiodic tilings of the plane such as the Penrose tiling a
 re instances of discrete\napproximate subgroups of R^2. These Euclidean qu
 asi-crystals were studied by Yves Meyer in the\nseventies and proved to ar
 ise from periodic tilings of a bigger space by the familiar cut-and-projec
 t\nconstruction. In this talk I will discuss tilings of other non-Euclidea
 n geometries\, especially those\narising from symmetric spaces of non-comp
 act type. In this talk I will survey recent advances\nestablishing super-r
 igidity and arithmeticity theorems for approximate lattices that directly\
 ngeneralize the Mostow-Margulis theorems.\n
LOCATION:https://researchseminars.org/talk/MSR80/14/
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