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UID:www.tcs.tifr.res.in/event/1206
DTSTAMP:20230914T125954Z
SUMMARY:Radial projections in vector spaces over finite fields
DESCRIPTION:Speaker: Ben Lund (IBS Discrete Mathematics Group)\n\nAbstract:
\nSeveral recent papers by authors including Matilla\, Orponen\, Liu\, Sh
merikin\, and Wang give upper bounds on the Hausdorff dimension of the set
of points for which the radial projection of a Borel set in a real vector
space is much smaller than expected. In recent work\, joint with Thang Ph
am and Vu Thi Huong Thu\, we prove analogs of several of these theorems fo
r point sets in vector spaces over finite fields. In several cases\, we ar
e able to prove stronger bounds than the most natural analogs to the known
theorems in the continuous case. I will discuss these results\, and if ti
me permits I'll mention a connection to the Erdos and Falconer problems on
distinct distances.\n
URL:https://www.tcs.tifr.res.in/web/events/1206
DTSTART;TZID=Asia/Kolkata:20220520T160000
DTEND;TZID=Asia/Kolkata:20220520T170000
LOCATION:A-201 (STCS Seminar Room)
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