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SUMMARY:Terence Harris (Cornell)
DTSTART:20211129T220000Z
DTEND:20211129T230000Z
DTSTAMP:20260423T004820Z
UID:OARS/36
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OARS/36/">Th
 e behaviour of Hausdorff dimension under curved 1-dimensional families of 
 projections</a>\nby Terence Harris (Cornell) as part of OARS Online Analys
 is Research Seminar\n\n\nAbstract\nGiven a curve C with nonvanishing geode
 sic curvature in the unit sphere of R^3\, it is an open problem whether th
 e Hausdorff dimension of an arbitrary set A is almost surely preserved und
 er projection onto the orthogonal complements of vectors in C. In this tal
 k I will outline some recent progress on this problem\, which makes use of
  some Fourier restriction tools such as decoupling and wave packet decompo
 sitions.  Toward the end of the talk I will mention a couple of open probl
 ems suggested by the approach.\n
LOCATION:https://researchseminars.org/talk/OARS/36/
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