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SUMMARY:Pengyu Yang (ETH)
DTSTART:20211014T161500Z
DTEND:20211014T173000Z
DTSTAMP:20260423T021828Z
UID:NEDNT/32
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NEDNT/32/">E
 quidistribution of degenerate curves and Dirichlet improvability</a>\nby P
 engyu Yang (ETH) as part of New England Dynamics and Number Theory Seminar
 \n\nLecture held in Online.\n\nAbstract\nIn the space of 3-lattices\, we s
 tudy the translates of a line segment under a diagonal flow. Sharp conditi
 ons for non-divergence and equidistribution will be given. As an applicati
 on\, we will show that Lebesgue-almost every point on a planar line is Dir
 ichlet non-improvable if and only if the line is irrational. This is joint
  work with Kleinbock\, de Saxcé and Shah. Generalizations to higher dimen
 sions will also be discussed (work in progress with Shah).\n
LOCATION:https://researchseminars.org/talk/NEDNT/32/
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