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SUMMARY:Lei Yang (IAS)
DTSTART:20240229T171500Z
DTEND:20240229T183000Z
DTSTAMP:20260423T022037Z
UID:NEDNT/70
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NEDNT/70/">I
 ncidence geometry and effective equidistribution in homogeneous dynamics</
 a>\nby Lei Yang (IAS) as part of New England Dynamics and Number Theory Se
 minar\n\nLecture held in Online.\n\nAbstract\nI will explain my proof of a
 n effective version of Ratner’s equidistribution theorem for unipotent o
 rbits in SL(3\,R)/SL(3\,Z). The proof combines new ideas from harmonic ana
 lysis and incidence geometry. In particular\, the proof is based on a boot
 strapping argument improving the local dimension of measures generated by 
 unipotent orbits. The key is to relate the behavior of the unipotent orbit
 s to a Kakeya model.\n
LOCATION:https://researchseminars.org/talk/NEDNT/70/
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