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SUMMARY:Aashraya Jha (Boston University)
DTSTART:20220420T140000Z
DTEND:20220420T153000Z
DTSTAMP:20260422T220124Z
UID:STAGE/55
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/STAGE/55/">P
 roof of the new gap principle 2</a>\nby Aashraya Jha (Boston University) a
 s part of STAGE\n\nLecture held in Room 2-449 in the MIT Simons Building.\
 n\nAbstract\nIn this talk\, we will prove Proposition 7.1 of [DGH]\, the s
 o called "New Gap Principle". We will first prove a couple of lemmas (Lemm
 a 6.3 and Lemma 6.4 of [DGH]) using techniques from enumerative geometry w
 hich bounds the number of points on a given curve lying in proper subsets 
 of a certain product of varieties . We then use height bounds of points on
  non degenerate varieties (Theorem 1.6 and Theorem 6.2 of [DGH]) along wit
 h lemmas proven to use an inductive argument to prove the New Gap Principl
 e.\n
LOCATION:https://researchseminars.org/talk/STAGE/55/
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