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SUMMARY:Alex Cohen (MIT Mathematics)
DTSTART:20220331T213000Z
DTEND:20220331T230000Z
DTSTAMP:20260423T021031Z
UID:SPAMS/13
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SPAMS/13/">A
  discrete 2D fractal uncertainty principle</a>\nby Alex Cohen (MIT Mathema
 tics) as part of MIT Simple Person's Applied Mathematics Seminar\n\nLectur
 e held in Room: 2 - 132 in the Simons Building.\n\nAbstract\nA fractal unc
 ertainty principle (FUP) states that a function `f' and its Fourier transf
 orm cannot both be large on a fractal set. These were recently introduced 
 by Semyon Dyatlov and collaborators in order to prove new results in quant
 um chaos. So far FUPs are only understood for fractal sets in R\, and frac
 tal sets in $R^2$ remain elusive. In this talk\, we prove a sharp fractal 
 uncertainty principle for Cantor sets in Z/NZ x Z/NZ\, a discrete model fo
 r $R^2$.\n
LOCATION:https://researchseminars.org/talk/SPAMS/13/
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